{
 "metadata": {
  "name": "",
  "signature": "sha256:fef0ae695360ac257b6101d788ffed9aca436a6ff9eca153271b00ee30281ec8"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<small><i>This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com) for PyCon 2015. Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_pycon2015/).</i></small>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Supervised Learning In-Depth: Random Forests"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Previously we saw a powerful discriminative classifier, **Support Vector Machines**.\n",
      "Here we'll take a look at motivating another powerful algorithm. This one is a *non-parametric* algorithm called **Random Forests**."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "from scipy import stats\n",
      "\n",
      "# use seaborn plotting defaults\n",
      "import seaborn as sns; sns.set()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Motivating Random Forests: Decision Trees"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Random forests are an example of an *ensemble learner* built on decision trees.\n",
      "For this reason we'll start by discussing decision trees themselves.\n",
      "\n",
      "Decision trees are extremely intuitive ways to classify or label objects: you simply ask a series of questions designed to zero-in on the classification:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import fig_code\n",
      "fig_code.plot_example_decision_tree()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAk4AAAFFCAYAAAAadmKrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnWd4VcXWgN8TQiihC6j0IkyogRCIqIQmhCIIKk1KAOFT\nioqICHhtqCDg5SpgoapUReBerlwFpEiviiDFERDpPRAIAdL292POOaScJCch5KSs93nOk+zZs2fW\n3rNnZs2aNbNtlmUhCIIgCIIgpI6XpwUQBEEQBEHILojiJAiCIAiC4CaiOAmCIAiCILiJKE6CIAiC\nIAhuIoqTIAiCIAiCm4jiJAiCIAiC4CbenhYgM1BKVQL+SuNlnbXWy++BOFkapdRXQB/gn1rr1+5h\nPn8DFVycigVuAqeAzcBMrfWueyVHaiil+gJzgF+01g3vIp04+791tNYHMkK2uyWFMkiJDVrr5hkv\njedQSn0JhNoPg+7F+5YVyx9AKdUMWAdc1lqXSsf1BTHP7inAHygO3AAOAcuBz7XW4S6u+xvz7nXQ\nWv8vneJnCsmVnVLqPuBfQBugCHAeaA2swoP3ppQqAvhqrc/GC3sHeAtYqrXuktky5TRyheKUiF3A\nbTfiXbrXgmRxMmuDrz+BC/GO82Aa3yqAH/CcUmqC1npMJsmTGCvR37tNKyttnLYTOJEorBhQ2/7/\nZhfX7LunEmUy9o7/6XhBAzBtxL0gq5V/fNIsl1KqMbAYKGsPugj8BjwANAKCgJeVUt201huTyTOr\nPo/EuJJ1MdAc05/sB/IDx+PFzfR7U0r1ACYDzwFn453KyHYs15PbFCcL6KK1TtxZCJ5jnNZ6buJA\ne4c2DHgXGKWUuqG1/iDTpYN/A9swVrC7oQbm/Tt21xJlEFrrronDlFJNgfWApbUOznypMp3OQCFg\nNcZa0F0p9YrWOjKD88ly5X83KKWeBL7D9CFLgDe11jre+ZoYa0wr4Eel1GNa6z2JkrFllrx3SZKy\nU0qVxChNFvCE1nptvHMtMc/lVCbLCTAeuN9F+DRgEXA9c8XJmeQ2xUnIJtg7rnFKqWvAFOBdpdR3\nWus/M1mOa8C1DEhHpx4rS5BdOrOMoo/972KgNFAP6AZ8mZGZZKPyTxWl1IPAbEz/8bHWenjiOFrr\ng0qpdphpwCbALKBBpgqaQSRTdiXj/Z/Amqa1TqtbyD1Ha30ZuOxpOXIK4hwuZGm01tOAXzDv6igP\niyPkIOwKQEuM1WAVsMx+aoDHhMoejANKABp4NblIWutY4BX7YT2l1GOZIFtm4TQ6aK2jPSlIMuS2\nAVCmIhanVFBK1cZ03HmB0VrrCYnO9wLmYua5AxM5Dz4B9MPM95cCYoCTwA/ARK31+URpxQHhWuvi\nSqlBwAtANYzF40dgpNb6olKqPmYKqwlmXn0PMFZrvTJRen8DFbTWXkqpocBgoDLGifEnzDSZ21MH\nSqnCwHDgGaCq/X5+x4zO52it41K4/G6YgxmttktGricx9xYI+AKnge+BD7XW55K5pg5mKrAFUAYI\nBzbZr9kVL15fXDiHK6V8gKFAD6AmRrE7A6zFONYnGKXGczCtrbU+mOjcU8DzQEO7/Ocw5TNBa304\nUVyHPJ9i3oF3gI4Y8/wF+32PTe6+M4J4iy0OYKwzs4H6mBHtOK31p/Z4+YBBQE+Mv5oXprNdAEzT\nWrv0NVRKBWM63EcwPlcXMIrNeK31URfxfwaCga+11v3ScCs97TL9prU+rZT6DhgLPKyUqqG1PuQi\nr76k4/m7cjCOtxCjM+adfQt4DNPW/GZP5yellK/9XDfgQcx7Nh94V2sdkyifPJh3sgcQANwH3MKU\n13+AyXYrarqwT6F3tx9+rLVO0WdGa/2r/Zn9qrXe72YeaW0301oX76ruxjsGsMU77qu1npuS47td\neXwRaIx5Zy4Ba4APElvT01KW8d5LB98rpQD6aa2/Tsk53D6AGAE8AVTE9GX7gK+BL+0KcPz4jvsr\nBTTF1FV/+3P8DZiqtf6WHIxYnFLBXtnfsR++Ze80AFBKlQOmYkasoxMpTbOA/2IaxRhgL6ZjUZgX\nbbdSqoSLLG1KqQWYhrkocBhTYUKBtUqp9sB2zPz6X0Ak8DCwQinVxEV6llJqGma6qxSmQhTHOA/+\nYnfwTBX7ff8KvA1UB45iGrPGwAx7/j7upJUOttr/llJK+cWTyaaUmoHxQ2qF8UPah7nPl4C9Sqkk\n0wNKqd4YB+B+mNUwezFl2BnYopRq5UIGK971NnueHwF1Mb4PBzDm+wGY59oopTTs6XgppeZjfERa\nYRTk3zDl3t8uf+dknkkZTHkMAqIwCklZjLK9TSlVNJnrMpKiGIWmJsY5tihwEMD+bm/EOKrWw3RM\nfwJ1gEnAZlfvv1LqH8DPwJP2oL1AQe48jzYu5EivM25v+9/F4JyS2YsZradmdUrP809OxvaYd7wp\npk5HA48CPyil2trPvYp5v49jOrc3gM/jJ6KUyguswAzk2mD8WfYAEZj39C1goz1eemkM5LPfx9pU\n4gKgtZ6bBqUpTe1mWutiBtXdLZiyd7DZ/jufKH7i+j4KUye6YJTjvUABzHu42z6Yc8RNa1mes8vl\nGIwcsMuUeACVWKbGmLr7ClAeMxA+g3n/ZgCr7Iq7q+fxJqbtqoup2zcxg51FSqlhLq7JMeRGxSk9\nJswJmI62APAZOCvgl5jOYp3W+mNHZKVUB0xDHwE011pX1loHaa0rAs3s4WUxyktiimAqVm+tdSWt\ntT/GKmJhVjstB74FSmutG2A0/22YsnT1stow1pgpQBmtdZA97yWY0fwipVT+lG7ePvJZhrEyLQfK\naa3raK1rAbUwS4/b2J/TvSC+M3+ZeP+/gmnsTgMttdbltNaNMKt6PsMoUMuUUoXi3YsCZmIarncx\nz7ER5plMxlhhv7WPrJOjHdAW01lW1lrX1loH2tP4D6ajH+fGff0DeBa4inEwrWQvnwcwjrX5gQVK\nqVouru2MWfbdQGv9kNa6LqbRisR0rP/nRv53Szm7DFXt919Oa73efu4rjAVtC1Bda6201vUxFs9N\nGAvi7PiJ2S1vYzHWv25a6/vtZXM/ppEuCHyjlCqfSI4+GAdet1deKqXqYZQ4C/gm3qlF9r+9U1Ew\nMvL5D8B05mXtz7EippPMg7FgFbLnU0NrXR1jHQDoq5QqHi+dF4AQTGfpr7Wubm93ygBdgThMJ9cp\nDbIlxjFwidJaH7mLdJKQznYzrXXxruuu1roJd7avsLTWwfbfqnjREvQzSqnm9nSjgRe01g/a3+1y\nmPevEKZNdpCmstRar7TL5VDeXnchUwLsCuj3mIH0Ykz/0FBrXQNj7TuJ6Xs+d3G5DTM4fR+4L94z\ndNSlt5VSOXZGK7cpTjbgmFIqLpVfAsdQ+xRUKEabb6OU6op5sVsCYdypRA5aYkahU7XWGxKltRGj\n+IBp7F3xpdZ6QbxrNmGUIzBKQl+t9U37uRvYlTmMudQVq7TWwxxz8VrrCKAXxmpUgTsj7+TojLEa\n/IHp0C7Gk+0QdyryIKVUmveCcQPHShAbxvqGXdkbg+n4esXrsNFaR2qthwI7MKOo/vHSehXwARZr\nrd91mKG11jFa6xGYEVdRjNk6ORwjwx+11mfi5RuBUeZW29NJFvsoboRd/ue11j/ES+eW1vpVjJKa\nH6M0JMYC+mitf4t33XbudPxBKeWfgXyktb5kz/8qgFIqEPP8LgKddLzpYK31KcxUbwTwpFKqbry0\nxtr/DtNafxfvmhhtVlQuxgwsXol3DVrrk1rrPxNPj6WC453fqbX+O164o+EvScoKRkY+/zCgv/39\nQWt9nTudlQ0YpLXeGy/+J5j2xYs7W0eAsULHAG8ntvBorZdgVktC8u2OOxSLJ3NGk552M6118a7r\nrp20DsBH2/9O1lrPiJdvJMbyfRl4KJ61KzPKcgjGV20f8Kyj/trz2I2x+lpAT6WUq3x+1Fq/pe3T\nxVrrKMCx91+Ru5QtS5PbFCcwlqPNqfySrKLQWv+BMY+CsQZ8iHmpBsWvgPa4wzDWqXeSkcGx1NmV\nVcPC+DMlxmF1Wa+T+hI59kEqnEx+HycOsL/kX9sPU1IS4M60yX/s1yVO6wDG3OuDGaFkNPGnAB2m\n5kcxlf584kY2Ho6Gtm28sPb2v3NwTSegvNZ6cQryOEbazymlnos/daC1Pq61bqO1fiWZax00wYwy\nL8ZXEhIxxf63jd3CGZ/L2vVGjQ4/iSKp5J8RWNxR6OPjeF/WarOaJwF2xXud/bAtgFKqKmbKLxb7\n1JkLHEqNq+k6t7FbUJ+1Hy6Kf06brUocU8MpTddl5PPfbB8AxcdR32O486wcMsZiOlob5h1yhD+F\naXeSvNv2e46wH6ZkTU0NR9uV4daEdLabaa2LGVF304R9kNQMU1+SlI02vn6PAg9orXfawzKjLB1t\n4UwXfQr2QcFmzHvWPvF5jM9Z4mtOc2frluT6o2xPjjWlJcPd7uP0T4z15WH78fzkOj2ttaWU8lFm\nT4+amA0dq3HHyQ+SV1xPuwhzKCwXXZxzrOpwNQqySH5DP8dIpmoy5x3UtP/tanfcdUU5+1+VSlrp\nwdEJWZhprfgyFVZKudqoEYxi5ZTJbqV60J6OS58L7Z6z/HKMNSsIM+03Qym1E+Pv873W+hc30qhu\n/5vShpKOfW8KY6bv4m9odyZpdOBOo5XHDRkygrMuwhxlE5xC2VS2/3W8L45rLOAnu2NrYhydRHVX\nJ9NAa8z0XyxmL6LEfIOZdmuplKqQTHuRkc8/pfp+TSdyALfjss5rrWOVUsXt/o5+mHZHYdodR0d2\nNwNmR3kXTzFWOklHu5nWupgRdTetlMf0tbd1osUeDrSLbVYyoSyrY+pb4v214rMHM8ir5uKcq/cW\nTB3IT+a1QZlOblOc7gqtdZxSaiV3FCeXna/dOjAGswItfgNzE7Nbcx7M6pnkSDz6jE96dn69kky4\nYwosNUdih+JShTsdniss7o2lwy/e/38kkskX47Dqjkz3xQuPcBHXLbTW0XafhVcx07RVMQ1xEGYB\nwQHM9NvWFJJxNHwpbUgXX8bCJFRSklj+EpFZy5FvuQhzPO8yGEU1OeKXjeOvNymXJ5gFFIUcU1vp\nwLF3Ux7gdDJKGphO6TnMgojEZOTzz5D6bh8YjMOs0CwQ79Q1jK/ZgyQ/ne8ujg4+j0pm5aELuapj\nLMNJPr2SKF6a28201sUMqrtpxdHuuL2paiaVZVraIFfWo6zSBmU6ojilAfuKrtHcaczeUUot1zrJ\nBmnv2+NFY1bd/YxRso7ala9xpKw4ZTQFcd04Ozqr1D4v47j2Ga31shRj3hsesf89Y/eRiS/TCq11\nRzfTid9w+XIXu+hqrW8BHwAfKKWqYfwzWmMcOmthVqOoxNO48XA0SCkpmvEV2nQreh7AUTYjtNaT\n03jNfm0cre8JynzHyzGVeIHkG/+imM6in1LqHZ3KsvsswmzM0vUITKe7FTjksKIqpRZyl52tNtsL\nnMdY7FpiFoakxldAQ6XUe1rrsSnES1e7mda6mAF1N62k5JqRHPe8LO1pF8G9Nig7tT/3HFGc3MQ+\nr/wVZinudMxodCDwlVLqUcccsX0lzsv2ywZoree5SK6ci7B7hQ3jQLrDxTlHxTvo4lx8/sSs4EjW\n2U8p9TCmch2xN0wZgn0U6nC+j+/74hj5+pEMSqmKmJHZUa31Ra31FaXUZcwUXi2SLtVFKTUAs1/O\nEq319GTSLY55Fn9qrS/Zze+HgS+UUmWA3ZiptU7ccdxPjMNyVlcpZUumY3ZspRCZgY14ZuAom5Te\nl3r2f4/YLUeOayorpfJqF5sK2hceKOCY3ZciPTyDmUa4BajkrCBKqY6YVVblMD5VrvwOswxKqbKY\njtYC2muzoCQxGdXuLMWs1H1RKfVFMlOJDrnqYCz0FmY/vOTipavdTGtdzKC6m1aOYu7fRylVVbve\ni+wtjKV1Jqatzoyy/ANjaQvAWLFc4WiDMnQFZXYnNzqHp5eRmCWaZ4DX7cfnMS/eyHjxSmFGFhZm\nT54EKKVKc8cZO7MU174u5MjHnZVF/07lescmbqH26xKnVRmzP8k+Up9mSSsvY+bXb2FWEznYiFHU\nHrL7Q7hiFmak9lG8sJUYZbKPyyvMCryWGAU5OWZhnCaTbCdhV3AcSlFK9WszxuxeCrP9hCuG2P+6\ntV9OFsLxvjytzBfkE2C3+qzB7IXTBcwnOoC/MZbA5MpmHKbcF96FbI60v09l6uh/3JkazQ47iVeM\n97+rdqcGd+rm3bY7kzDTZ9VIYem+fbrJsYLsd51oM8hEpLfdTGtdzIi6mya02aRyK8m0O8rsf9cP\nY/GKwax0dpDWsnQ4ebszTeYojwF2w0DifBpwR+ld7UZ6uYbcqDiled5Vmd3D38G8QC9qra/ZG13H\nCOkdZT5qCcb8f9WezwgVb1NI+yh7FXeW9Ka4f1IGMlCZncMdchTDdD6VMc5/S1O5fhFmVPYQsFQp\n5fyIpN3U/V9MBd6j420L4CYuy0MpVUIpNRbjkG8B/4jvpGu3UvzLfrggvvKklCqglPoXRgGKIeGq\nwkmYqYBeSqkRSikv+zV5lVIfYhqKS5iN55LD0XG/oRJtlqmU6oJxpozFlLVL7Kuo/mk/nK7Md70c\naeRXSk0GOmC2wHDlY5Nlsa9y3Ih5z/9nXzEHgH1U/x+M1e8MCZWg9+x/P1ZKdYt3jbdS6jVMZ2dx\n57k5zldQSvkppR5ISS67BTLYnsbXKcW1r1xzrjq1d9xZmcOYTtMGjHa81wBKqWaYFVCOzvGu2h2t\n9XHu7Bk3Qin1jYq3Ma09zwaYJfNBmGnYxFu2JCa97WZa6+Jd19104lAwX1dK9YyXZyGMMlcRs5p7\nBcZCld6ydEypVSR1PscsNqqDaUOdfmVKqYbc+QTRdzrethtC7puqswFLlFIuP/WQiA1a6zeU2cTr\na8yGif/RWjutM1rrxUqpUMyS6q+VUg9rrWPsHf5kjEWng1LqL0xHUQkzin0bs/li2WRkzGgOAFOU\nUqMxnVVNjMPhX0D31Pw3tNZRSqlOmMakHXBSKXUQs01AdYwCfpI7viNpYYxSamC8Yx/Ms6piP44F\n3k/GV2YsZqquC2Yl1gmM0lMN45/i2CPJuWpEa71PKfV/mMZqIqYh+xvjJFoM44+QYE+TxGitl9p9\nDJ7F+EOcxkz7OZyhLWCMixU0icv2A8y0QXfMzusnMVZMP8wy8xuYaYu9ZD96YEapjYA/lVKHMGXp\nh6lL4UA7He+zK1rrL+2DlFcwG7P+C7NypzLmnbAwnyH5b6K85mL/5Apm5J4cDgvrBYzlMTVmY76P\nmBfT8U9y45qUuGfOstp8imkaZlPCUZjl9ie4805qjML5Kq7bnbTmN9NupfgXZh+3rkqpM5j25cF4\neZzB7P2W4juc3nYzrXUxA+tumtBa/6iUehMzOJinlJqAqevVMVbWy5jnFAdcuIuy3ItxzfinUqo/\n5tNGXyUj02VlvkzwPaYMn1TGOb4wd1bRrSN9m+nmWMdwyH0WJwszn9vYjZ/DP2MM5jtc4dyZOonP\nYEwHF4D9I7Ta7CLeATPqjsZ0FhGYSlMTsz9PDFDLPgpOLGNysqd0LjkszPTTGxjzek3MHjEfAA1d\nNBAu87GvnvHHOHAewlifKmN8UyYBAfEct93Bkc9DJHzu9TGN5R7M1Jy/1vpdVwlorWO11t0wisdP\nmAaoDkb5WQYEa62TfOVea/01pkP/BuMcXAfzbOZjdmhek0hOV4Ri3oet9nzrYhqLf2N2MXe1i3qC\ntLTWcVrrZzE+VWvs6dTGNOSfAvV10m8+peakfLdOzBniBK21Pot5xiMxvi3lMf5Jp4AvMOWaZCsG\nbTb+DMFYMW2Y52phFJ0nk3kX3P3kSi97nIXaje8q2n1R1nOnDrlDanUx8XF66rTLa7XZBykUswLN\nG9PunMFsSliPO3sCBas7n9FId3lrrb/AlOmH9jwL2vMpiPGZeQ2oobV25T/jSv70tptprYt3XXdd\nHKd4b/b7+wCzz933GGW8NkZhSlIf0lmWYJSp5RhLdXXuKEAu5bWvHqyDaWtPYJ5zcWAD5jt3j+uk\n3zZMra65UxezNTbLytH3l6uxW1LKYzrglPYLEgRBEATBDXKbxUkQBEEQBCHdiOIkCIIgCILgJqI4\n5XxytJOeIAiCIGQmojjlbHK8k54gCIIgZCbiHC4IgiAIguAmuW0fJ0HIsdhstnyYfbCErIcF3LBk\npCoI2R6xOAlCNsVms9natGnTq3HjxiGVKlVqUKxYseL58+eXwVAWJC4uzgoPD488d+7cn3v27Nm6\nfv36T48fP37B03IJgpB2pJEVhGyIzWaz9evX7+MPP/xwSOnSpZN8Z0rIslSwLOvxTz/9tH3dunWf\n2rdv34nULxEEISshipMgZEN69+796oQJE4aUKlVKlKZshs1mY+jQoQ2uXr06z2azNZPpO0HIXsiq\nOkHIhjRs2LCtKE3Zm27dugX5+/sHeVoOQRDShihOgpDNKFasWLnAwMBAT8sh3B3VqlXL16RJk6c9\nLYcgCGlDFCdByGY89NBDtatVq1bE03IId88DDzxQytMyCIKQNkRxEoRsRoECBYoWKFDA02IIGYC3\nt3d+T8sgCELaEMVJELIZNkOarlm2bBl+fn5MmzYtxXh+fn60aNHibsTLME6dOoWfnx+vvfaaW/Fb\ntGhBw4YNM1SG3r174+fnR0RERIam68DLS5pgQchuyKo6QRASkFal7F7jrjyhoaFERUVlaN5PPfUU\nQUFB+PjIvqKCIBhEcRIEIUcQGhqa4Wl27tw5w9MUBCF7I3ZiQRAEQRAENxHFSRCEVPnhhx/o3r07\n9erVo379+nTv3p0ffvjBef7w4cP4+fkxatSoBNdprfHz86N58+YJwuPi4ggKCqJXr16p5m1ZFv/7\n3/9o3749devWJSQkhBkzZhATE5Mgnisfpxs3bjBp0iRatGiBv78/Tz31FOvWreONN97Az88v1bxd\n+Tht3ryZ0NBQGjdujL+/Px06dGDGjBlER0enmp4gCNkfUZwEQUiRCRMmMHz4cE6fPk3Hjh3p0KED\np06dYvjw4Xz00UcAVKtWjTJlyrBjx44E127fvh2Ac+fOcerUKWf4vn37CA8PT6JQuWLbtm2MGDGC\nqlWr8uyzz+Ll5cXkyZMZOXJkkrjx/aGioqLo168fs2fP5oEHHqBXr14ULlyYIUOGsH37drd9p+LH\n2717Ny+88AJ///037du3p3fv3nh7ezN58mTeeecdt9ITBCF7Iz5OgpCL2LFjB2n5wsfu3bv58ssv\nqVmzJrNnz6Z48eIADBs2jNDQUGbNmkWzZs0IDAykSZMmfPvtt/z9999UqlQJMIpTwYIFiYyMZPfu\n3ZQrVw6ATZs2AdCsWbNUZbh06RJjx46la9euALzyyis8//zz/PDDDzzzzDM88sgjLq+bP38++/bt\no1evXvzjH/9whk+cOJE5c+akywl+7ty5xMbGsnDhQsqWLet8Fl26dGH58uWMGTMGX1/fNKcrCEL2\nQRQnQchF7Nq1i127drkdf9myZQC8/vrrTqUJoESJEowYMYLnn3+epUuXEhgYSNOmTfn222/Ztm0b\nlSpVIjY2ll9++YXOnTuzePFidu3aRadOnQAz3VWuXDmqVq2aqgzVqlVzKk0A+fLl45VXXqFbt258\n//33ySpO//73v/H19WXYsGEJwocOHcqSJUu4fv2628/BgWVZWJbF3r17nYqTt7c3s2bNIl++fKI0\nCUIuQKbqBCEXMXToUP74449kf4n5448/yJMnDw0aNEhyLiAgADB+TAAPP/wwPj4+bNu2DYADBw5w\n7do1HnvsMWrUqMHu3bsBuHr1Kvv373fL2gRQr169JGE1a9bEZrM5807M7du3OXz4MJUrV6ZQoUIJ\nzhUsWBCllFt5J6ZLly7YbDaGDx9OSEgIH3zwAZs2baJIkSJJ8hEEIWciipMgCMkSERGBj48P3t5J\njdOFCxcmf/783Lx5EzAKScOGDZ3Tgdu3b8fLy4uGDRsSGBjI8ePHuXjxIlu3biU2NpamTZu6JcN9\n992XJCxv3rzky5ePyMhIl9dcvXoVgJIlS7o8X7p0abfyTkxwcDBz586lWbNmnDt3jnnz5jFw4EAe\ne+wx5s+fn640BUHIXojiJAhCsvj6+nLr1i2XO2ffvn2bW7duUaxYMWdYkyZNCA8P59ChQ+zcuRM/\nPz8KFSpEUFAQYKYKN23aRIECBZxhqeFqSu369etJ8k4sN5hVda5ILtwdGjZsyBdffMH27duZOXMm\nPXv2JDo6mvfff5+NGzemO11BELIHojgJgpAsNWrUwLIs5zRbfH755RfA+CA5CA4OBmDr1q3s3buX\nRo0aAdCgQQO8vb3ZtWsXW7ZscU7rucP+/fuThP36668A1KpVy+U1hQoVomLFihw6dCjJbuKxsbEu\n03SHGTNm8PHHHwNQoEABmjRpwptvvsnbb78N3HkmgiDkXERxEgQhWZ566ikA/vnPfxIWFuYMDwsL\nY+LEidhsNjp27OgMr1KlChUqVGDhwoVcv37dqTgVKlSImjVrsmLFCi5cuODWNgQO9u7dy4YNG5zH\n169f5+OPP8bLy8spnyuefvppIiIiknyfb/r06Vy6dMnt/OOzceNGpk+fzt69exOEO7ZacDiMC4KQ\nc5FVdYIgJEtgYCD9+vXjyy+/pGPHjk6FZ/369Vy+fJmBAwcSGBiY4Jrg4GDmz59Pnjx5EmxI2ahR\nI/bt24fNZnPbvwmgYsWKDBkyhLZt21K0aFHWrVvHmTNnGDRoULIWJ4C+ffuycuVKZsyYwS+//EKd\nOnU4ePAgv/zyC0WKFHF7ui7+9g3Dhg2jb9++9OnThzZt2lC6dGmOHDnCzz//TLVq1RIokYIg5EzE\n4iQIuQCbzZbuj/e+/vrrTJo0iXLlyrFixQpWrVpFlSpVmDp1KsOHD08S3zFdp5SicOHCznCHT5NS\nivvvv9/t/Nu1a8dbb73F3r17+fbbbylUqBDjx4/n5ZdfTvE6Hx8fvvrqK5599lmOHz/OggULiIyM\nZObMmVSvt0bEAAAgAElEQVSsWJH8+fO7lX/85xYYGMi8efNo3Lgx27Zt46uvvuLw4cP07duXBQsW\nuJ2mIAjZF1taNsMTBMHzBAcHd1+5cuWiggULelqULM2pU6coUaIErp5T8+bN8fX1ZcWKFR6Q7A6T\nJk369rXXXuvuUSEEQUgTYnESBCFH8t577xEYGMjJkycThP/www+cPXvW7VV9giAI8REfJ0EQciTd\nu3dn48aNdOnShdatW1O0aFGOHj3Khg0bePDBBxkyZIinRRQEIRsiipMgCDmS5s2b89VXXzFnzhzW\nrVvHtWvXKF26ND169GDw4MGUKFHC0yIKgpANEcVJEIQcS1BQkEzJCYKQoYiPkyAIgiAIgpuI4iQI\ngiAIguAmojgJQg5k3759bNmyxXl86tQp/Pz8coRDtJ+fH506dfJY/r1798bPzy/J9/t+/PFHunfv\nTr169ahXrx7PPPMMS5cu9ZCUgiDcK0RxEoQcxs8//0y3bt04evRoknPp3QQzKzF06FB69OjhURkS\nP8cZM2bwyiuvcOzYMTp27MhTTz3FuXPneOONN3j33Xc9JKUgCPcCcQ4XhBxGWFgYOXlj26FDh3pa\nhAScPn2aKVOmULRoUZYvX84DDzwAwIsvvsizzz7LokWLaN++fZJP0wiCkD0Ri5Mg5FBysvKUlVi9\nejUxMTH07dvXqTQBFC9e3Dk1un79ek+JJwhCBiOKkyDkIEaNGsWYMWMAGD9+PH5+fpw5cyZBnA0b\nNtC1a1f8/f155JFHGDNmDFeuXEmS1vHjxxkxYgSPPPIIderUoV27dsyYMYOYmBi3ZLlx4waffvop\nTz75JAEBAdStW5eQkBAmTZrEzZs3nfEc/lfTpk1j7dq1PPPMM07Z3nzzzSSyJfZxmjp1Kn5+fhw/\nfpyJEyfy2GOPUa9ePXr06MH+/fuJi4tj5syZtGjRgvr169OlSxd27tyZRN5ffvmFoUOH8thjj1G7\ndm0aNWpE//792bFjR4r36efnR79+/WjdunWSc2XLlgXg1q1bbj0zQRCyPjJVJwg5iMcff5zr16+z\ndu1amjRpgr+/P4ULFyY8PBwwysH69etp3rw5jRo1Yvv27SxbtgytdQJH5gMHDhAaGkpUVBStWrWi\nbNmy7Nq1i8mTJ7Nr1y6mT5+Ol1fy466YmBj69evH77//TpMmTQgODiYiIoJ169Yxe/ZsTp48yZQp\nUxJcs27dOj777DOaN29O48aN2bx5M9999x1Hjhxh0aJFCeK68tUaNmwY4eHhdOjQgTNnzrBq1SoG\nDBhA8+bN2bBhA23atOHWrVv897//5fnnn2fVqlWULl0agDVr1vDSSy9RsmRJWrduja+vL3/++Scb\nN25k586dLFmyBD8/P5f32rhxYxo3buzy3E8//QRAzZo1k31WgiBkMyzLkp/85JeNfk2aNOl+48YN\nKzmWLl1qKaWsr7/+2hl28uRJSyll+fn5WStWrHCGx8XFWZ07d7aUUtbBgwedYU888YTl7+9vHThw\nIEHa48ePt5RS1oIFC5LN37Isa8WKFZZSyvr4448ThEdERFiPPvqoVatWLevWrVsJZFNKWStXrnTG\njY6Otp544glLKWUdPXrUGa6Usjp16uQ8njJliqWUslq2bGldv37dGT58+HBLKWUFBgZaFy5ccIZP\nnTrVUkpZCxcudIaFhIRYQUFB1uXLlxPIO3PmTEspZU2ePNkZ1qtXL8vPzy9BXq74/vvvLT8/Pysk\nJMS6ffu2yzgTJ078xsoC75T85Cc/938yVScIuYjy5cvTvn1757HNZiM4OBgwU2YAe/fu5fDhwzzz\nzDNJLCUvvfQSefPmZdmyZSnmU6tWLT744ANCQ0MThPv6+lKjRg1iYmK4evVqgnMVKlQgJCTEeezt\n7c3DDz8MkGS60RWdO3emUKFCzuOAgAAA2rdvT6lSpZzhdevWTZCmZVmMGDGCiRMnJvkMS6NGjQDj\ncJ8WfvjhB0aOHEmJEiX47LPP8PHxSdP1giBkXWSqThByERUrVkwSVqxYMcD4JIGZpgPj4zR16tQk\n8QsWLMgff/yRYj6VKlWiUqVK3L59m71793Ls2DFOnDjBgQMH2LVrFzabjbi4uCTXJKZw4cIAREVF\npfneChQoAEC5cuUShOfLly9BmjabjccffxwwK+QOHz7MiRMnOHLkiNO/KTY2NtX8HRw9epTXX3+d\nIkWKMGfOHKpUqeL2tYIgZH1EcRKEXIRDaUiJa9euAbBp0yY2bdqU5LzDvygyMpKCBQu6TMOyLL74\n4gu+/PJLZ3olS5akfv36lC1blqNHj2JZCVf9ubLKOPJKHNcVDkUpMe5Ye7TWvP/+++zatQsw1q5q\n1apRp04djh8/7lb+Dr766iuio6N5//33UUq5fZ0gCNkDUZwEQUiAQxkaN24cTz31VLrSmD17Np98\n8glBQUEMHDiQGjVqcN999wEwYMAAl5tzeoqIiAj69+/PjRs3GDVqFI888ghVqlTB29ubffv2sWLF\nijSlt2/fPgoUKOC0YgmCkLMQHydByGHc7e7gjtVjv//+e5JzMTExTJo0iQULFqSYxooVK/D29uaz\nzz7jsccecypNlmXx119/YbPZ0mTFuZds376dy5cv07NnT/r27Uv16tXx9jZjyiNHjqQ5vaJFi1Kr\nVq2MFlMQhCyCKE6CkMNwdPru+AW5omHDhpQrV44lS5bw22+/JTg3c+ZMZs+ezf79+1NMI1++fMTE\nxCRxqv7000+dTtnu7gd1r3FMX166dClB+JkzZ5g2bRoA0dHRbqc3d+5c5s+fn3ECCoKQpZCpOkHI\nYTh2r160aBFXr15NsrItNby8vJgwYQIDBgygV69etGjRgvLly7N//3527NhB+fLlefXVV1NMo2PH\njuzdu5cePXrQpk0b8ubNy44dOzh27BiBgYHs3r2bK1euuHRWz2wCAwMpW7Ysy5cv58qVKyilOHv2\nLOvWrSMgIIDz588n2YQzJWuZw6H+xRdfvKdyC4LgGcTiJAg5jIYNG9KzZ0/Cw8NZuHBhqv5ENpst\nyfRegwYNWLJkCSEhIfzyyy/MmzePc+fO0adPH7799ltKliyZYpo9e/bkzTffpFixYnz33Xd8//33\nVK9eneXLl9O3b18ANm7cmOq9uJLN3TjuXAvGqfzLL7+kdevWHDhwgLlz53Ls2DFGjRrFzJkzeeih\nh/j1118T7HaeUrqffvopn332War5CoKQPbFlFT8DQRDcIzg4uPvKlSsXJbeiTcg+TJo06dvXXnut\nu6flEATBfcTiJAiCIAiC4CaiOAmCIAiCILiJKE6CkM24ffv2jdu3b3taDCEDiE7Lcj1BELIEojgJ\nQjbj2LFjh0+dOiWaUw7g6tWrV1KPJQhCVkIUJ0HIZly8eFFv3bp1r6flEO6O8+fPx23dunWNp+UQ\nBCFtiOIkCNkMy7KsPXv2bJZZnuzNsmXLDmzZsuV/npZDEIS0IYqTIGRDpk+f/saYMWP+J8pT9mTl\nypV///e//33ZsqxYT8siCELakJ3DBSEbYlnWLZvN9sz169ff8/f3b9K4ceN65cqVy+f4fIiQtYiN\njSU8PJzt27cf01pv3bZt22c//vjjVk/LJQhC2pENMAUhm2Oz2WwlSpSoWrFixaoFCxYslNbrL126\nVOPy5cuvxMXFlcibN++esmXLTilQoMD1eyFrdiMuLo4zZ860jYiI6GNZVt6CBQsuLVeu3Ld58uSJ\nS0s6MTExMefOnTtz/Pjx3y3LunWv5BUE4d4jipMg5FJsNpsX8Drwnj3oDWCSZVlpUgpyAzabrQGw\nGKgCbAJ6WJZ12rNSCYLgCURxEoRciM1mKwXMBdoAp4HulmVt9qxUWRubzVYUmA08DVwCelmWtcqz\nUgmCkNmIc7gg5DJsNlsT4DeM0vQjUE+UptSxLCsc6AIMBYoAK2022wc2m018RQUhFyEWJ0HIJcjU\nXMYhU3eCkHsRxUkQcgEyNZfxyNSdIOROZKpOEHI4MjV3b5CpO0HInYjFSRByKDI1l3nI1J0g5B5E\ncRKETMZms+UdOHDg+wEBAY8VKlSolJeXV4ZbfuPi4vKEh4eXjoqKKujl5RVTuHDh85ZlnT906NCv\n33333RvHjx+/kNF55lZ69eo1rFGjRk8UK1asYkRExIO3b9/2tdlssUWLFr2QL1++yIzOz7IsKzo6\n+tbJkyf3bdy48eOffvppV0bnIQhC8ohJWRAymRdffHHGxIkT++bPnz+zsvQGygJlLcsKKFKkiJ/N\nZmsqlqe7p1+/fiMnTpz4XpkyZXwSncoDPHiPs6+9ePHiRpUrV25+7NixU/c4L0EQ7IiPkyBkIjab\nrVi7du3aZqLSlDh/Bg4c2Lhx48ZtPSJADiMoKKizC6Up0+jSpctDTZs2HeCp/AUhNyKKkyBkInXr\n1g0MCAi435MyPPjgg3mqV69e35My5ARsNlve+++/v6KHZaBq1aqVPCmDIOQ2RHEShEykQIEC+X18\n7t5Ace7cOVavXp3u6318fGSa/u7xzpcv310/x7sty7x58+a5WxkEQXAfaTwFwcNcuHCBiIgIKlas\nSJ48KfeBsbGxHDx4kCNHjlCgQIFMklBIL9HR0Rw/fpwSJUpQokSJBOekLAUheyKKkyB4GF9fX06c\nOMGBAwcoU6YMVapUoXjx4i7jnjt3jtjYWBo2bMj+/fud4RcuXGDfvn0ULFiQq1ev4u3tTe3atTl8\n+DDXrl2jfPny1KtXL7NuKddz+fJl/vrrL86fP0/ZsmUpV65ckjhSloKQPRHFSRA8jK+vL4GBgcTG\nxnLy5En27NlDXFwcjRo1okiRIgnili1blrJly3LhQtLdBK5cuUKDBg0oXrw4Gzdu5NChQ7Ro0YLo\n6GiWL1+On58fnnJKzy2EhYWxe/du8uXLR5UqVWjQoAHJ7TYhZSkI2RNRnAQhi2Gz2Zy/tODr6+u0\nVBUqVIi8efNis9nw8fEhb9683L59Wzrbe0x6ys0VUpaCkHURxUkQPExkZCR//PEHZ86c4cEHH6R+\n/foUK1YszekktmxkRAcupI3ixYvTqlUrwsLCOHr0KHv37qVcuXJpthBJWQpC1kUUJ0HwMBERERQt\nWpS6devi7S1VMifgcAaPjo7m77//JjIyUixEgpBDkFZaEDxM6dKlKV26dIanK1YKz5M3b16qVat2\n1+lIWQpC1kEUJ0HIhpQuXZo2bdokexwQEJAgfqdOnTJNNiFtSFkKQvZCNsAUhEwkLi6OrPBh7bg4\n+UxdRpAVnmNWkEEQchOiOAlCJhIWFnY+LCzMoz2dZVmEh4dHeFKGHMLt69evR3paiMjIyBuelkEQ\nchOiOAlCJnL06NFfNm7ceMCTMmzbti18+/bt33lShpyAZVlxJ06c+M2TMly7do3du3dv9aQMgpDb\nEMVJEDIRy7LiVq5cOWnt2rWXPDFld/DgwVszZ878/OTJk8czPfMcyJo1az6cP3/+kejo6EzP+/z5\n83FvvvnmklWrVi3M9MwFIRdjywr+FoKQ26hcuXKVJk2a9ImKimp99erVIICSJUtur1Chwm82my3D\nK2VcXBzh4eHXtm/fvvzXX3/dkdHp52aKFClSPCQkpH+VKlUqeHt735MP7l69erXU33//HRITE1M0\nX758Zx588MHvDx48+L/Nmzf/YFlW7L3IUxAE14jiJAgewGazlQLmAm2A00B3y7I2e1YqIStjs9mK\nArOBp4FLQC/LslZ5VipByH3IVJ0gZDI2m60J8BtGafoRqCdKk5AalmWFA12AoUARYKXNZvvAZrPJ\ntjKCkImIxUkQMgmbzeYFvA68Zw96A5hkWZasJxfShM1mawAsBqoAm4AelmWd9qxUgpA7EMVJEDIB\nmZoTMhqZuhMEzyBTdYJwj5GpOeFeIFN3guAZxOIkCPcImZoTMguZuhOEzEMUJ0G4B8jUnJDZ2Kfu\nZgHPIFN3gnDPkKk6Qchg7FNze5CpOSETsU/ddUWm7gThniIWJ0HIIGRqTsgqyNSdINw7RHHKxths\nNlurVq16PvrooyEVK1asnTdv3kI2m83mablyI3FxcXnCw8NLR0VFFfTy8oopUqTI+Xz58t3KbDks\ny7Kio6Mjjh8/vn/Lli2rfvrppwWWVPJMp0GDBrUaN27ct1atWkGFChUqlSdPnryZLUNcXJzt2rVr\n99++fdvXZrPFFi1a9EK+fPk8/lHi3IhlWVZcXFzU5cuXT/3666/bNmzY8Nnx48cveFouIX2ICTeb\nYrPZbP369Zvy4YcfDipduvQ9+cyDkG68gbIelqHehQsXeowePbqRzWZ7WZSnzKNdu3Yt33vvvdnt\n2rWr6GlZ4pEHeNDTQgjUjIuLa/3FF190qF279lP79++Xb0ZmQ0RxyqZ07tz5hYkTJw4qWbKkKE2C\nS0qXLp1nwoQJg69cuXII+NzT8uQGbDZbvlmzZn2WxZQmIQvh5eXF4MGDAy5fvjwd4wcpZDPEOTyb\nEhQU1FqUJiE1SpYsmadRo0atPS1HbqFVq1Zdu3TpUt3TcghZnxYtWgRVqFChgqflENKOKE7ZEJvN\nZitXrpy/p+UQsgfly5f3F9+3zKFRo0aPFClSxNNiCNmAxo0bFwsMDHzG03IIaUcUp+xJweLFixfy\ntBBC9qBYsWK+QAFPy5EbKFSokNRLwS28vLy47777RMvOhojilD3x8vb2dll2o0aNws/PL8GvTp06\nNGvWjJEjR3LkyJHMljVNREREEBYW5jx23E92YurUqfj5+XHmzJlMyzOl55Q3b948GOdg4R6TJ0+e\nZJ+z1E3Pk9XqZnLtuJC1EefwHMqYMWMoXrw4ADdv3uT48eMsWbKEVatWMXPmTBo1auRhCZOyf/9+\nBg0axOTJkylRooQzPLvNMrVu3ZpKlSo5n39mkd2eU25F6qbnkLopZASiOOVQHn/8ccqUKZMgrHfv\n3jz99NMMGzaMNWvWULBgQQ9J55o///yTixcvJgnPbivplVIopTI93+z2nHIrUjc9h9RNISMQM2Eu\n4oEHHuD1118nLCyMpUuXelqcZJFGRshtSN0UhOyDKE65jDZt2uDj48PmzQk/nbZ792769u1L/fr1\nqV+/PqGhoezevTvJ9Xv27KFfv34EBAQQEBDAc889x759+xLECQ8PZ9SoUTRr1ow6derQqlUrJk+e\nTFRUVLJyTZ06lTFjxgDQp08fWrZsmeD8/v376d27N/7+/jz22GOMHz8+SXrnzp1j5MiRPPzww9St\nW5fOnTvz/fffu/Vctm3bxoABAwgKCqJ27doEBwfz1ltvcf36dWecUaNG0bZtW/bt20evXr2oV68e\njz76KO+//z63b99OcC/x/SimTp1K/fr1OXr0KP369aN+/foEBwcza9YsAGbPnk2zZs0ICAhgwIAB\nnD59Os2yCdkfqZuukbopZDVkqi6X4ePjQ/ny5fnjjz+cYWvXrmXo0KFUrFiRIUOGYFkW3333HX37\n9mXKlCm0aNECgC1btvD8889Ts2ZNhg0bxu3bt1m2bBm9evVizpw5BAYGAjBs2DAOHTpEaGgopUqV\nYs+ePcyYMYOrV68yduxYl3K1bt2aixcvsnjxYl544QXq1KmT4HxoaChPPvkkHTp0YP369Xz99ddY\nluVs0M+fP0+XLl2w2WyEhoZSpEgR1q5dy2uvvcaFCxd47rnnkn0mmzdvZuDAgQQGBvLyyy/j5eXF\n5s2bWbx4MdeuXePjjz8GjJ9CWFgYAwYMoG3btjz55JNs3LiR+fPnky9fPl577bVk84iOjiY0NJRW\nrVrRpk0blixZwkcffcS2bds4c+YM/fv3JywsjFmzZjF69Gjmzp2bJtmE7I/UzaRI3RSyJJZlyS+b\n/YDCq1atumS54PXXX7eUUtbp06ddnbYsy7K6d+9u1a1b17Isy4qOjraCg4Ot5s2bWxEREc44165d\ns4KDg63g4GArJibGio2NtVq2bGk9++yzVlxcnDNeZGSk1bp1a6tTp06WZVnWpUuXLKWUNWfOnAR5\njh492urXr1+yMlmWZS1dutRSSlk7d+5Mcj9fffWVMywuLs5q3bq11axZswTxgoKCrIsXLyZIc/jw\n4VadOnWsy5cvJ5vvgAEDrBYtWljR0dEJwrt162YFBAQkkWX+/PkJ4rVr185q0qSJ83jKlCkJysBx\nPGHCBGecI0eOWEopq0GDBlZYWJgzfMSIEZafn58VFRWVLtlcsWrVqktAYSsLvLs5/Tdx4sSFLgvB\nkropdTMpL7zwwlgrC7y38kvbT6bqciExMTHOVR4HDx7k/Pnz9OzZE19fX2ecwoUL07NnT86fP8/+\n/fs5ePAgp06domXLlly5coWwsDDCwsK4efMmzZo149ChQ1y4cIHChQtTsGBBFixYwOrVq4mMNN8U\nHTduHHPmzEm3zE888YTzf5vNRo0aNZzOqnFxcaxZs4aGDRuSJ08ep2xhYWG0bt2aqKgotmzZkmza\n06dPZ9myZXh73zHAXrlyBV9fX27evJkkftu2bRMcK6W4dOlSqvfQqlUr5/8VK5ovcgQEBCRY4VO2\nbFksy+Ly5cvpkk3I3kjdTIjUTSErIlN1uZCrV686lxSfOnUKgMqVKyeJV6VKFYAE8/oTJ05k4sSJ\nSeLabDbOnj1L6dKlGTt2LG+++SYvvfQSPj4+NGzYkJCQEDp16oSPj0+6ZL7vvvsSHOfPn5+YmBjA\nNFYRERH89NNP/PTTT8nKlhxeXl4cP36cZcuWceTIEU6ePMn58+ed1yYm/nJsMFMscXFxqd5DyZIl\nnf87GtvE9+XYBsiRXlplE7I3UjcTInVTyIqI4pTLiIiI4OTJkzRv3hxIeZWM45yPjw+3bt0CjI+E\nv7/rr704GvgnnniCJk2asGbNGjZs2MDWrVvZsmULCxcuZPHixeluoJMjNjYWMM613bp1cxmnXLly\nyV4/e/ZsJk2aRJUqVQgMDKRNmzbUrVuXefPmue3A6g4p7I3ocdkEzyN1MylSN4WsiChOuYyVK1cC\nOFfGlC1bFoCjR486HU0dHDt2DDBLpR0jyAIFCtC4ceME8fbv38+1a9fInz8/t27d4sCBA1SrVo2n\nn36ap59+mujoaCZNmsTcuXPZsmWLs2PIKEqUKEGBAgWIjo5OItv58+c5cOBAsvvi3L59m6lTp/Lw\nww8zZ84cvLzuzF5fvnzZoyPHrCybkPFI3UxIVn7/s7Jswr1HfJxyERcuXGDKlCk88MADdOzYEYDa\ntWtTqlQpFi1aREREhDNuREQECxcupHTp0tSuXZtatWpRqlQp5s2b5/SNALhx4wavvPIKo0aNwtvb\nm8OHD9OzZ0+WLFnijJM3b15q1KgBpDyyczQ+jlGqg+QaIUe4t7c3wcHBbNiwIcGKJIDx48czePBg\nrl696jKNW7ducevWLSpVqpSg8Tt06BA7d+4ESGDqT02WjCSjZBOyPlI3kyJ1U8iqiMUph/LTTz9R\nrFgxwIyO/vrrL/7zn/8QFRXFrFmznCZ5b29v/vGPf/DKK6/w9NNP06VLFyzLYsmSJVy6dIlPPvkE\nMA2sI17nzp155plnyJ8/P0uWLOH06dN89NFHeHl5UadOHYKCgvjXv/7FmTNnUEpx9uxZ5s+fT9Wq\nVXnkkUeSldnhU7Bo0SIuXbrkdDpNbsoifviIESPYvn07PXv2pGfPnpQpU4aNGzeybt06unfvTtWq\nVV2mUbRoUfz9/VmyZAm+vr5UqlSJw4cPs3TpUipXrszhw4eJiIjA8cV7d2TJKDJKNiFrIXVT6qaQ\nvRHFKYfhGNmMHz/eGZY3b14eeOABHn/8cQYOHOhcNeIgJCSE2bNn89lnn/Hpp5/i7e2Nv78/48aN\no0GDBkniffHFF3z++ed4eXlRvXp1Pv/8c5o2beqMN3XqVKZNm8a6detYvHgxRYsWpU2bNrz88ssJ\nVqAkpnHjxrRt25b169ezfft2Wrdujc1mczlaSxxevnx5vvvuOz755BO+++47IiMjqVChAqNHj6ZP\nnz4pPrNPPvmEcePGsXTpUm7fvk3t2rWZMmUKlmUxcOBAduzYQatWrdyWJbXjlEgc925lE7IOUjel\nbgo5A5towtkPm81WeNWqVcdat259X+qxhdzO6tWrL4eEhFS2LEu2M77HTJo0aeFrr73Ww9NyCNmD\nQYMGvff555+/5Wk5hLQhPk6CIAiCIAhuIoqTIAiCIAiCm4jiJAiCIAiC4CaiOAmCIAiCILiJKE6C\nIAiCIAhuIoqTIAiCIAiCm4jiJCSgRYsW9O7d29NiuE12k9fBnj176Nu3L/Xr16d+/fr07t2bXbt2\neVosIZPJju/v5cuXuXnzpsfy7927d5JP0HiC8+fPM2LECIKCgqhTpw4dOnTg22+/9bRYQiYgipOQ\nhOy2WVt2k/fw4cP06dOHo0ePMnjwYF588UXOnj1L37592bRpk6fFEzKZ7PT+btiwgbZt23LlyhWP\nyuHpZ3br1i369OnDqlWreOqppxg9ejTFihXj7bff5uOPP/aobMK9R3YOF4RM5sMPP8TLy4sFCxZQ\noUIFADp16sQTTzzB+PHjadKkiYclFATX7Nu3j2vXrnlaDI/z9ddfc/z4cSZMmMCTTz4JQI8ePejf\nvz+zZs2iR48e3H///R6WUrhXiMVJEDKR27dvs2vXLoKDg51KE5ivyLdu3Zq//vrL46N5QUiN3P7F\nic2bN1OsWDGn0gTGCta1a1diYmL47bffPCidcK8RxUlIgmVZ/Pe//6V9+/bUqVOHkJAQvvnmmyTx\nFi1axDPPPENAQAB169albdu2zJw503n+7bffplatWoSFhSW4LjIyknr16vHGG284w/bs2UO/fv0I\nCAggICCA5557jn379mWovLt3707gVxQaGsru3bsTxGnRogVvvvkmY8aMoW7dujRt2pQrV67QokUL\n3n77bZYvX0779u2pW7cuISEhLFiwIMH14eHhjBo1imbNmlGnTh1atWrF5MmTiYqKAsy3yf79738z\ncnhkvnIAACAASURBVORIl/fhiCPkHrJLfRs1ahSffvopAC1btqR3794MGTKEoKCgBIrU+vXr8fPz\n4/33309w/eDBg2nfvr3zWGvN4MGDadiwIf7+/nTr1o01a9a48cSScuTIEYYMGULDhg2pV68ePXr0\nYPPmzUni7d27lz59+hAQEEBwcDDTpk1j2rRp+Pn5OeNYlsW0adMICQmhbt26PProo4wcOZJz5845\n40yYMIGvvvoqSfpSh3MHojgJSdi/fz8ffPABbdu2ZfTo0fj4+PDOO+8kaNT+9a9/8e6771KtWjVG\njx7N8OHDyZcvH//85z9ZuHAhAB07diQ2NpbVq1cnSP/nn3/m1q1bdOjQAYAtW7bQu3dvbty4wbBh\nwxg0aBBnzpyhV69eSRSb9Mq7du1aevfuzblz5xgyZAiDBw92+hWtW7cuQXorVqzg8OHD/OMf/6Br\n164UL14cgE2bNjFu3Djatm3LmDFjKFCgAO+99x4bNmxwXjts2DB+/vlnunXrxttvv02jRo2YMWOG\nsxPx8vKiatWqlC9fPkGeJ0+eZMWKFdSvX59ChQqles9CziG71Lfu3bvTqlUrAMaMGcPgwYNp2rQp\n4eHhHDp0yBlvx44dAPz666/OsOjoaLZv306zZs0AM+XXrVs3fv/9d/r378/w4cOJjo5m6NChSQYj\nqaG1plu3bvz111+88MILDBs2jJiYGP7v//6PH374IcFz7tOnD2fPnmXo0KF07dqVuXPnMm/evAQ+\nU1988QWfffYZTZs25e2336ZLly6sWbOG/v37ExcXB0CZMmUSKFsAUVFRzJo1iwIFCtCwYcM03YOQ\nzbAsS37Z7AcUXrVq1SXrHtC8eXOrRo0a1sGDB51hp0+ftvz8/KyRI0dalmVZUVFRVoMGDazhw4cn\nuPb69etWnTp1rEGDBlmWZVlxcXFW8+bNrdDQ0ATxhgwZYgUHB1uWZVmxsbFWy5YtrWeffdaKi4tz\nxomMjLRat25tderU6a7ljY6OtoKDg63mzZtbERERznjXrl2zgoODreDgYCsmJsaZXs2aNa0LFy64\nzEdr7Qy7ePGi5efnZ7366quWZVnWpUuXLKWUNWfOnATXjh492urXr1+y93D58mUrJCTE8vf3tw4c\nOJDi/aaHVatWXQIKW1ng3c3pv4kTJy50u2Cs7FffpkyZYimlrNOnT1uWZVlnzpyxlFLW7NmznXE6\ndepkBQcHWzVq1LCuX79uWZZl7dy501JKWTt37rQsy7K6dOliBQQEWOfOnXNed/v2batz586Wv7+/\nFRYWlqwMvXr1slq0aJHguHXr1tbNmzedYTExMVbPnj2tRx991IqOjrYsy7L69OljNWrUKEHaBw8e\ntGrUqGH5+fk5w9q2bWs9//zzCfL85ptvrE6dOlknTpxwKVNsbKz14osvWkopa+FC91+BF154YayV\nBd5b+aXtJxYnIQmVKlWiRo0azuMyZcpQokQJLl26BBgz9NatWxk7dmyC665cuYKvry+RkZGAmfPv\n0KEDu3btck4fREREsHHjRtq1awfAwYMHOXXqFC1btuTKlSuEhYURFhbGzZs3adasGYcOHeLChQt3\nJe/Bgwc5f/48PXv2xNfX1xmvcOHC9OzZk/Pnz7N//35neIUKFShVqlSSfCpXrkz16tWdxyVLluS+\n++7j8uXLzvQKFizIggULWL16tfM5jBs3jjlz5riUPS4ujkGDBnHq1CkmT55MzZo1U7xXIeeR3epb\nfB588EGqVavG9u3bATNVrbUmNDSUuLg4p9Vp06ZNFClShAYNGnDp0iX27dvHk08+mcCB2sfHhwED\nBnDr1i22bt3qVv5Xrlxx+gxGRkY67yc8PJzHH3+cS5cu8fvvvxMeHs7OnTvp2LGj04IMUKNGDR55\n5JEk97Rjxw7mzp3rLINu3brx73//O4ml2MFHH33E6tWr6d+/Pz169HD7+QnZE1lVJyThvvvuSxKW\nL18+oqOjncfe3t6sX7+etWvXcuzYMU6cOEF4eDiA05wN0KFDB6ZPn87q1avp3r07a9asISoqyjlt\ncOLECQAmTpzIxIkTk+Rrs9k4e/YspUuXTre8p06dAozik5gqVaoAcPr0afz9/ZNND4wDd2J8fHyI\njY11/j927FjefPNNXnrpJXx8fGjYsCEhISF06tQJHx+fJNd///337N27l7feeitL7E0jZD7Zrb4l\npkmTJnzzzTfExsaya9cup5P09OnT2b17N8HBwWzevJlHHnkELy8vTp8+DaRcH8+cOeNW3idPngRg\n3rx5zJs3L9n7yZs3L5ZlUalSJZd5xveHGjlyJIMGDWLcuHGMHz+eWrVq0aJFC7p27UrJkiVdyjB3\n7lzatm3r0ndRyHmI4iQkIbU9UizLYvDgwfz8888EBgbSoEEDevToQWBgIKGhoQniPvTQQyil+PHH\nH+nevTs//vgjVapUcVpWHI3+sGHDnIpLYlw1sGmVN7Vz8ZUaLy/Xhlh39o554oknaNKkCWvWrGHD\nhg1s3bqVLVu2sHDhQhYvXpxEedqwYQOlSpWSUWouJrvVt8Q0bdqUOXPmsG/fPrZv306tWrUoVKgQ\nDRo0cFq/Dh06RJ8+fZz3kxwO+dx1rnYMWnr1+n/2zjy8put73O9ORGQwU4QIUQSRmRgi1BCE1Fgt\nilKlpv7MUkM/qKnUPJXWUKqGmKkpWlE1TzULIjQxjyExZLj798dN7jdXEiKS3Htjv89znuSee+7e\n6+yzzj7rrL322p/ToEGDVI/58MMPdcZaai8vlpaWep8rVqzIzp072bdvH3v27GHfvn3MmjWLJUuW\nsHr1ap1xl8T+/fuJj4+nb9++6ZJZYfoow0nx1hw7doyQkBD69OlDv379dPvj4+N59OhRCnd2QEAA\n06dPJyIigv3799OnTx/ddyVLlgTAysqKmjVr6v3u7NmzPHnyhDx58ryTvEl1hIWFpfDqhIeHA1C8\nePF3qgO0SfHOnTtH+fLladOmDW3atCEuLo4pU6awbNky9u/fz0cffaT3m4cPH1K6dGmDJ/RTGC/G\nfr95eHhgY2PDoUOHOH78uG7oq1q1akybNo0///wTAF9fXz0ZwsLCUpSVdD+WKFEiXXUnlWVmZpbi\nfMLCwoiMjMTKykrXRlevXk1RxvXr13X3n0ajITQ0FBsbG+rXr6/rL7Zv386AAQMICgpi2LBher9/\n8OABQoi3NjgVpouKcVK8NY8fPwagXLlyevvXrFnDixcvdG+BSTRv3hyNRsP48eOJj4+nefPmuu+q\nVq1K0aJFWb58uS5WAyAmJoYBAwYQGBhIrlzvZt9XqVKFokWLsnLlSqKjo3X7o6Oj+f333/nggw9w\ndnZ+pzpAmxG8Y8eOrF27VrfPwsJCF79ibm6e4jczZ85k3rx571y3IudiTPdbkjc2eZ0WFhbUrFmT\n4OBgQkNDqV69OgDe3t7ExcWxcOFCqlatqhvqLlq0KM7OzmzevJk7d+7oyomNjWXJkiVYWlpSu3bt\ndLVN0r27YcMGvdis+Ph4RowYwTfffENCQgKFCxfG3d2dP/74Qy+BZ0REBH///bfuc0JCAp07d2bC\nhAl69bi4uACp38Ndu3bln3/+SdNTrch5KI+T4q3x8PDA1taWCRMmcOPGDfLly8fhw4cJCQnBzs5O\nzzgBrTfHy8uLkJAQ3Nzc9N6Qc+XKxciRIxkwYACtWrWibdu25MmTh7Vr13Ljxg1+/PHHd+6QLCws\ndHW0adOGTz75BCkla9eu5f79+8ycOfOdyk+iatWqeHt7M336dG7evEnFihW5desWv/32G+XKlUsR\nhAro1qdr2LBhpsigyHkY0/2WFI+1aNEifH19dR4ZX19fvvvuO8zNzfH09AS0gde2trZERETQsmVL\nvXJGjhxJly5daNOmDR06dMDa2prNmzdz4cIFRo4c+caUHMmH+5LKat26Ne3bt6dgwYJs27aNf//9\nl0GDBpE/f34Ahg0bRqdOnWjbti2fffYZL1++ZPny5XplWVhY0KVLF+bMmUPfvn3x8fHhxYsXrF69\nGisrK9q0aZNCltDQUP777z/8/PywsrJ6rdyKnIEykRVvTeHChVmwYAH29vbMnz+fadOmIaVk/fr1\nNG/enLCwsBRJ+D7++GPdrJ9Xady4MYsWLaJ48eLMnz+fmTNnYmNjw/z583Wzgd6VpDo++OAD5s6d\ny8KFC7G3t+fXX39NMzYiI8yePZv27dsTEhLC999/T1BQEE2aNGHZsmWpvsknBaAqFGlhTPdbs2bN\nqFWrFuvXr2fq1Km6/UnDcBUrVtQZPUIIvLy8EEJQt25dvXLc3NxYuXIlzs7OLF68mJkzZ2JlZcXc\nuXPp2LHjG9sk+dB28rKWLl3KlClTePbsGZMmTeKrr77SO+6XX36hUKFCzJgxg1WrVtGlSxf8/Pz0\nYqr69OnDt99+q1tSZe7cuTg4OLBixYpUh+NWr15NYGCgyvj/HiFeF6inME6EEHl37twZ7ufnl/r0\nL4UiGbt27XrQuHHjslLKp4aWJaczZcqU34cMGaIi/Y2Q+/fvpzor7uuvv+bSpUspEuFmB7169fp+\n/vz532V7xYp3QnmcFAqFQpHjadeuHd27d9fbd//+fQ4fPkzVqlUNJJXCFFExTgqFQqHI8bRq1Yq5\nc+cyaNAgvL29efLkCWvWrAFQqQQUb4UynEwTTXx8vObNhykUEBcXlwAkvPFAxTuT8OoUN4XR0Ldv\nXwoXLszq1av566+/sLS0xNPTk9mzZ1O+fHmDyKT6cdNEGU6mybNHjx5FAynXBVEoXuHx48cxwHND\ny/E+EP3qFDeF0SCEoEOHDnTo0MHQogDanFEPHjx48uYjFcaGinEyQaSUMjIy8pSh5VCYBhEREaek\nmgWSLRw5cuRA8jxBCkVaHDx48PGBAweCDC2H4u1RhpOJcvjw4V33799XwwKK13L//v2EI0eO7DK0\nHO8LwcHBa4KCgi4ZWg6F8fPXX38dvn37doSh5VC8PcpwMlE2bNjw09ChQ+ffvXtXGU+KVLl7927C\n0KFD52/YsOEnQ8vyviClfLlu3bre27Ztu25oWRTGiUajYd68eSdWr17d09CyKDKGyuNkwgghhJ+f\nX4eaNWs2dnBwcLawsLA1M3Def41GI6KioorHxsZam5ubxxYoUOBWrly54g0pU1pIKcX9+/dLSynN\nCxcufN3c3NzkjVCNRqOJi4uLvn79+tkDBw7sCg4OXqGG6bIfLy+vyt7e3l2rVKninTdv3iLm5uYp\nV5c1QR4/flzs5cuXtvny5bttZWUVY2h50uLp06eFnz17VsDMzEyTP3/+W7lz535hSHmklFKj0bx8\n8ODBjZMnT+7/+++/54eHh98zpEyKjKMMJ0WmIYQoB2wBKgHbgc+klEYd8CGE+ApYCPwkpexlaHkU\nCmNFCOEJHAOOAt7GbpALIboD8xM/9pJS/mJIeRQ5B2U4KTIFIURdYD1QCJgODJFSGr0HRwiRCzgH\nlAMqSSkvG1gkhcIoEULsAhoBDaSU2Z9mOwMIIeoB69D2SzOAwabQLymMGxXjpHhnEr02u4G8QHcp\n5UBT6ZyklPHACMAc+N7A4igURokQogFao2mXqRhNAFLKEKA6cAHoD2wVQuQ3qFAKk0d5nBQZJtFb\nMwVth/QAaC2l/NuwUr09Qrti6BHAC/CSUh43sEgKhdHwyv3hKaU8YWCR3ppEY2kl0BStERUgpQwz\nrFQKU0V5nBQZIrEj2oLWaDoPVDdFowm0gZtAYOLHCYaURaEwQtqgNZpWm6LRBCCljAIC0IYRVAKO\nJIYXKBRvjfI4Kd4aUwwCTw+mGMOhUGQlyWIAHYHKOSEGUAWNK94V5XFSvBWJb2lH0BpN09C6vE3e\naErk28S/kxKHJxSK952uQAXgl5xgNAEkGkoNgSjgZyHEdCGEuYHFUpgQyuOkSDeJQeDzAIn2TW2R\ngUXKdIQQq4F2QFsp5TpDy6NQGAohhBVwBSgIlJNS3jKwSJmKEMIRree8MrADrec8yrBSKUwB5XFS\nvBEhRC4hxHS0+Y6igIY50WhKZBSQAIxPHKZQKN5X+gF2wIycZjQBSCmvArXQhhs0AQ4mhiEoFK9F\neZxyGEIIc19f3wBPT08fS0vLPO+aSDwuLi73hQsX/C5cuOAQFhZ2EWiW2OHkKIQQFg0aNGjr6urq\nFRER4RcVFeVcokSJPSVLljz/pt/GxsbGnTt37sz27dt/l1IaNEOxQpGEEEK4ubnVqlmzZkD+/Plt\n36YviI2NtTx79mwnIQRVqlRZljt37liAhIQEzc2bN+/u2rVr6e3btyOzTPhsJHGYbgowAHgItPb2\n9raoXr26n42NjfXbtFt8fLzm6tWr19euXbtYSvkoi0RWGBoppdpyyAbkHjBgwMa7d+9qZCbz8uVL\nuWDBggu1atWqaujzzOwNsBk5cmTwo0ePMtw+T58+lePHj9/v6OhYxNDnoza1SSnp1q3blNDQ0Bcy\nk0lISJDbtm271bp169aGPsfM3IDuQJyvr29CeHh4fEbbJzY2Vv7666+XGjRoUN3Q56S2LNIVQwug\ntszbmjVr1jM6OlpmJWPGjPnd0OeZ2dvnn38+Kj4+w/2kDo1GI3v16jXF0OejNrVVqFDB6ejRo09l\nFjJv3rxDJI5a5JStTJkyA69evZop7TNp0qT1hj4ftWXNpmKcchBeXl7VbWxssrSOMmXKuGVpBQbA\n1dXVzdz83SfVCCGoXLlyjmsfhenh5eXV2tPT0zYr66hevborUDor68huAgICipctWzZTyrK3t3dT\ns3NzJspwykFYWVllrdUEWFhYZHkd2Y2lpaV1JpaV49pHYXrky5fPOquf2YULF85TqlSpIllaSTZj\nY2OTaX1B3rx5rYHcmVWewnhQhlMO4l0DwY2ljuwmM88pJ7aPwvTIDj0UQmBubp6jPCqZ2W7K25Rz\nUb28QqFQKBQKRTpReWpyMEePHsXS0hIXFxcArl+/TmRkJGXKlOHChQtoNBrMzc1xc3OjcOHCPHny\nhKNHj6LRaJBS4ujoyIcffmjgs8h+7t69y5kzZ7C1tSUqKoqEhAQ8PT0pUKAAJ06c4PHjxwDY2dlR\ntWpV1IulwthRfUHGUH2BIjWU4ZSD+fDDD9m3b5/uhg4LC8PBwYEzZ85Qv359cufOTVRUFCEhITRr\n1ozQ0FBKliyJk5MTL1684OTJk+9lZwnw8OFDXQcZGhrKuXPnsLa2xtLSkiZNmqDRaNi3bx+hoaE4\nOTkZWlyF4rWoviDjqL5A8SrKcMrBFCxYEBsbG27evEnevHl58eIFUkpevHhBSEiI7jgzMzOio6Mp\nWbIkR44c4cGDBxQrVgwPDw/DCW9grK2tKVCgAKBtx/DwcKKiomjYsCGgbbNy5cpx+fJl1VkqjB7V\nF2Qc1RcoXkUZTjmc8uXLEx4eTt68eXF0dERKSbFixahZs6bumJiYGF3n4O/vz+3bt7l79y7nzp2j\nQYMG2Npm6axmoyQ96QmklGg0mmyQRqF4d1RfkDFUX6B4FRUcnsMpVaoUjx49IjIyEkdHRz744ANu\n377N06dPAbh16xa7du0iISGBgwcP8t9//1G6dGk8PDywsLDg2bNnBj4D46F48eJcvqxdID4hIYGr\nV69SrFgxA0ulUKQP1RdkHqoveL9RHqccjpmZGfb29rx48YLcuXOTO3duvLy8OHjwoDYDqpkZderU\nIVeuXFSpUoWjR48SFhaGEIJSpUrxwQcfGPoUjAYPDw+OHz/Ojh070Gg0lChRgipVqhhaLIUiXai+\nIPNQfcH7jTKccjjx8fHcu3cPT09P3T57e3vs7e1THJsvXz4aNGiQneIZJR988AFNmjRJ9XPyYQ2F\nwpRQfcHbo/oCRWoowykHER8fH5/88+3btzl06BBly5alUKFCmVJHQkJC/JuPMi3i4+MTMrGsHNc+\nCtMjNjY2y/uCly9fykePHj3PlMKMhLi4uEy7f1++fBkPqP4gB6IMpxxEWFjYf1JKXS6R4sWL07Jl\ny0yt4969e9cytUAjIDIy8npmlXXr1q1rmVWWQpFRLl++fPrevXuyaNGiArKmLzh9+vS1J0+ehGVq\noQbm8uXLYS9fvsTS0vKdy7p27dpDKWWmvZQpjAcVHJ6DOHz48KKNGzdezaryw8PDnx89enRdVpVv\nKI4dO7Y8JCTkZiaUc//YsWO/Z4ZMCsW7sHfv3s0///zzISlllpQfExPDnj17tkspX2RJBQZi48aN\nSxcvXnzmXcu5evUqS5YsqSyE6J4ZcimMC5FVN5bCMFSoUKG3h4fH9KpVq+YuVKjQ4/z58z941zI1\nGk38/fv3rx87dmz9b7/9tiAz5DQ2WrZs2cjb27uHnZ1d5Vy5clm+KQPw06dPCz179qygjY3NAysr\nq7u3b9++dPjw4V/Xrl27IZtEViheS/ny5Uu0bt36+woVKnjkyZMnb9LaaQkJCeYPHjxwEEIkFClS\n5D8hRLofAhqNJuHp06d3jx07FrJ48eLROdGjUrNmzYoNGzb81tHR0S137tw2b7PmnEajSXj48GHE\nli1bzu/evbsDUBiYAQyRUqphuxyCMpxyEEKIr4B5gAR6SSkXGVikHIsQogCQ5N1zlFI+NqQ8CkV6\nEUL8BPQEvpJS/mJoeXIqQghHYAtQGdgBfCaljDKsVIrMQA3V5QCEELmEENOBhUAU0FAZTVlLoqE0\nCSgIDDWwOApFuhBCVAC6A6HAUsNKk7ORUl4FagHbgSbAQSFEOcNKpcgMlMfJxBFC5AdWob0xzwMB\niTesIosRQlgBV9AaTx9KKd85TkqhyEqEEKuBdkBbKWWOi1c0RoQQ5sAUYADwEGgtpdxrWKkU74Ly\nOJkwiW8vB9EaTduBmspoyj6klM+B0YAVMMqw0igUr0cI4YnWaDoKrDewOO8NUsoEKeVA4CsgH7Bb\nBY2bNsrjZKIIIeoB64BCwDRgaE4M1DR2hBC5gHNAOaCSlPKygUVSKFJFCLELaAQ0kFL+ZWh53keE\nEHXR9tsqaNyEUR4nEyQxCDwYyAt0l1IOUkaTYUjs9EYA5sD3BhZHoUgVIUQDtEbTLmU0GY7EIbrq\naMMq+gNbEsMtFCaE8jiZEInejSlob7gHaMfK/zasVIrE6cpHAC/AS0p53MAiKRQ6XtFPTynlCQOL\n9N6TaCytBJoCF9DGpuaoZKI5GeVxMhESb7QtaI2m80B1ZTQZB1L79hGY+HGCIWVRKFKhDVqjabUy\nmoyDxLQEAcB0oBJwJHEYT2ECKI+TCZAYBL4F7Q22DWgvpXxiWKkUr6JiSBTGRrIYPEegsorBMz4S\nA8XnJ37spXJrGT/K42TkJAaBH0FrNE0DPlZGk9HybeLfSW+TbVihyEK6AhWAX5TRZJwkGkoN0ebg\n+1kIMT3R4FUYKcrjZMSoTOCmh8qTozAWhBDWwGVUnjGTQGUaNx2Ux8kIUZnATZpRQAIwXr01KgxM\nX8AOmKGMJuNHZRo3HZTHychQmcBNH7UWmMLQCCEKol1LUaLWUjQpVKZx40d5nIyIVzKBb0NlAjdV\nxgLPgdGJy7IoFNnNUKAAMFEZTaaFyjRu/GSax0kIkRuwzJTC3k98gN/QZgKfjXbIR2NAeZ4ZY1LN\nxKBrK7QJJ42Z0cBAtNdxpmFFMQgSiJFG4NIWQpgB1sD7ErBfHDgFPALcgBeGFSdV4qSUxihXukn0\nDFlncTW1gRVonwtzgZFoQwEUqfNCShmX1ZW8k+EkhDDv3r37OC8vr4+KFy/uYGVlZZGJsr03xMXF\n5Xn+/LkNgJWVVYyFhYVBOxQppXz8+PHzyMjI04cOHVocFBRk8HWtPDw8yjRt2nRMhQoVqhcpUqSQ\nhYWFURtOUkoRHR1dEMDW1vaREMLgBkR2otFo5P3796OuX79+fN++fdN37NhxKLtlaNasma+Pj08/\nBwcHj0KFCuUzMzN7Lwyn58+f28TFxeUxhr4kLV6+fJlw586dW6dOndo/Z86coVLKGEPLlF46duzY\ntVq1ap+VKlWqSt68eS2zegatRqMxe/bsWT6NRmNubm4eZ21t/fR960/SS0xMTOytW7fCjhw5su3X\nX3+dlGUvblLKDG99+/ZdHBMTIxU5l2PHjt1v27Zta/kOevKuW758+QrMmTPneDacriIL2Lx58xUf\nHx9XmY0606BBg+o7duy4lk2nqMgg8fHxctiwYTsAM2nAPia9W+fOnb8ODQ19mmUNosgU7t27F9+j\nR4/JMov0IMMxTiVKlCj5ySeftLS2zmpPpcKQeHp6Fvb29u5qSBmaNm3as2fPnh6GlEGRcQICAsp5\ne3tna4yGt7f3V40bN3bIzjoVb4+5uTl9+/ZtUKNGjYaGliU91KhRo1OFChVsDS2H4vUUKVLEvFGj\nRp9kVYxphg2n6tWrt/Xx8SmYmcIojBN7e3uXxDgRg+Dq6uqaK5ea2W/KfPjhh27ZWV+ZMmVcsrM+\nRcYpVapULi8vrwaGluNNCCGKu7i4VDW0HIr00ahRozLe3t5Ns6LsDD8MCxQoYGtmpiblvQ8ULFjQ\nBjDYW5aVlZV6wzNxLC0tbXJyfYp3I2/evKZwvfIXKVIkr6GFUKSPfPnykS9fvmJZUXaGLZ/sMJq2\nbt2Kk5MTS5YsydRypZSsXLkSKbVxY4GBgQwZMiRTyj58+DBOTk5oNIacEJe5GDqoNjNjLzt16sSM\nGTPe+ndZqTPvSqdOnZg5M/Mn7q1fv566dTNn3dHs1qHUAnbr16+Pk5MTTk5OVKpUCXd3d9q3b88/\n//yTnaLpiI2NZdWqVbrPGdXNrKB+/fqsXbs208udPXs2HTp0SLHf0H1MerCwsEi1L1J6lX6yU6+E\nEKn2A5mBUbuMtm7dioODAxs2bMjUco8ePcqYMWN0D8HEBs7UOhTGS0autTHrzNy5c+nRo4ehxTAJ\nAgMD2b9/P3///TdBQUF4eHjQs2dPDh48mO2y/PHHH8yfP19vn7Ho1Lp16wgICDC0GCaD0qv0DwGC\nJAAAIABJREFUkVP0ymgNp8ePH7N//3769u3LpUuXuHDhQqaVnfTwe/WvQpEWxqwz+fLlw8pK5dlM\nD7a2thQuXJiiRYvy4YcfMmTIEJo1a8aECROyXRZj0qFXKViwIJaWKi1felF6lT5yil4ZreG0a9cu\nLC0t8ff3p0yZMqxf/3+phDp16sTYsWNp1KgRvr6+PH78mNu3b9O7d2/c3d356KOPmDp1KnFxKfNg\nRUZG0qVLFwCqVKnCkSNHEEIQHR3NoEGDdL/ftGmT7jexsbGMHz+emjVr4u3tTf/+/Xnw4MFr5V+9\nejW+vr64u7szbNgwYmNjdd/t2bOHVq1a4erqir+/Pzt27Ejz3M6ePYuTkxO7du2iUaNGuLi40KNH\nDx49egRAXFwc//vf/6hVqxZubm5069aN8PDwjDX6e0Z62y47dCZJJ1xcXPDy8mLAgAFER0cDWjf0\ngAEDGDt2LF5eXtSsWZOFCxfqfpvcFR8YGMikSZMYMGAAbm5uNG/enIsXLzJ9+nSqVatGvXr1CA4O\n1v325MmTdOjQATc3N9zd3enevTt37tx5t4Y1Mdq1a8fly5eJiIgAICoqilGjRlG7dm08PT0ZPHgw\nUVH/t9bq5cuX6dy5M66urvj5+emFEjx9+pT+/fvj7e2Np6cn/fr14/79+ynqPHz4MMOHD+fOnTtU\nqlSJGzduAHD37l2++uorXFxcaNy4sd5wz9OnTxk2bBheXl74+Pjw3XffEROTdvqjdevW0bRpU5yd\nnalRowajR48mIUGbOzEwMJBx48YxcOBA3N3dqVu3rp5nP/mQSqdOnfj555/p2rUrrq6utGvXjoiI\nCEaOHIm7uzuNGzfm+PHjut++TpffJ5Re5Vy9MlrDacuWLfj6+mJubk79+vXZunWr7uIAbNiwgR9+\n+IH58+dToEAB+vTpQ4ECBVi/fj1TpkwhJCSEadOmpSjXzs6O2bNnA/D333/j7u6OlJK//voLJycn\ntmzZQtOmTRk5ciRPnjwBYNq0aZw+fZoFCxawYsUKNBoNPXv2fK38O3bsYNGiRcybN49du3YRFBQE\nwMGDB+nXrx+tWrVi8+bNtGvXjsGDB3P69OlUz61gQe3ExYULFzJ16lR+++03zp07x6JF2jV/V6xY\nwYEDB1i4cCGbN2/GxsaGb7/99h1a/v0hvW2X1ToTERHBN998Q4cOHdixYwczZ87k0KFDenEKwcHB\nWFhYsGHDBrp37860adMICwvTfZ/cFb9ixQq8vLzYtGkTtra2dO7cmaioKNasWUPt2rUZNWoUANHR\n0fTs2ZPatWvzxx9/sGjRIiIiIvjpp5/evXFNiHLltOuoXrlyBYC+ffsSGhrKTz/9xNKlSwkPD2fo\n0KEAvHjxgu7du+Pu7s6WLVsYOXIkv/76K7/99hsAM2fO5ObNm/z222+sWbOGBw8eMHHixBR1enh4\nMHz4cIoWLco///xDiRIlANi0aRNNmjThjz/+oGrVqrp6AYYPH05UVBS///47CxYsIDw8PM17/dix\nY4wdO5ZBgwYRHBzMmDFjWL9+Pbt27dIds2rVKqpUqcKWLVto3Lgxo0eP1unvq8yfP5927dqxfv16\noqKiaNOmDSVKlGDdunWUKVOG8ePHA+nT5fcFpVc5V6+Mco73nTt3OH78OD/++CMAjRs3ZvHixYSE\nhNCggXbWqq+vLx4e2tQ+Bw8eJDIykqCgIMzMzChbtiyjRo3iyy+/ZMiQIXqB7GZmZuTLlw+AIkWK\n6L5zcXHhq6++AqB3794sXryYsLAwnJycWLFiBWvWrKFSpUoATJ48mRo1anDs2DG8vLxSPYfvvvuO\ncuXKUb58eWrXrk1oaCigfaj5+fnRuXNnAL744gtOnz7NokWLdAG+yc8tMjIS0N50Li7aGdYBAQGc\nOXNG932ePHmws7OjUKFCjB49muvXr7/bBXhPSG/bZbXOaDQaRo4cySeffAJoDbWaNWvqGUb58+cn\nMDAQIQRffvklCxcu5OzZs7rOOTmVKlWiY8eOADRr1ozJkyczfPhwcufOTceOHVm3bh2PHj0iISGB\nXr160bWrNk1XyZIl8fPz499//32ndjU18ubVTpSKiYnh4sWLHD16lG3btuHo6AjAlClT8Pf358qV\nK5w8eZICBQowYMAAAEqXLs3/+3//j3nz5vH5559z8+ZNrK2tKVmyJNbW1kyePJmnT5+mqNPCwgJb\nW1vMzMwoXLiwbn+jRo1o06YNAN27d2fr1q3cvXuXFy9esHv3bg4dOkT+/PkBmDRpEg0aNODOnTsU\nK6Y/ecjKyooJEybQsKE2PVKJEiVYsmSJnk5VrFiRL7/8EoBvvvmGZcuWcenSpVT7tLp169K0qXZm\nd/369dm5cyd9+vQBoG3btroHcXp0+X1B6VXO1SujNJy2bduGmZkZvr6+gPYBVbRoUTZu3KgznEqW\nLKk7PiwsjKdPn+Lp6alXTnx8PDdu3MDe3v6NdSY/xtZWO/v95cuXREREEBcXlyJiPzY2luvXr6dp\nOJUuXVqvvJcvXwJw9epV2rVrp3esm5ubziP16rmlJp+NjQ3x8fEAtG/fnh07duiMrQYNGuhuEMXr\nede2yyydcXBwwMLCgvnz53PlyhUuX77MlStXaN68ue4YOzs7Pa9Sch14nVx58uShSJEi5M6dG0AX\nXxAbG0uxYsVo0aIFS5Ys4eLFi1y5coXQ0FBcXV3T3QY5gSR3v62tLVevXsXGxkb3cANwdHQkf/78\nhIWFcfXqVa5cuYK7u7vueyklcXFxxMfH88UXX9CrVy/dEG2jRo1o0aJFumV5td8ArU6FhYUhpaRe\nvXp6xwshCA8PT/GAq1KlCpaWlsyaNYsrV65w6dIlrl+/Ts2aNV9bV3p0Knfu3NjZ2ek+W1pa6kIR\n0qPL7wtKr3KuXhml4bR161bi4+Px9vbW7dNoNOzdu5fHj7ULfScPMIuPj8fBwUEv7gO0ile8ePF0\n1ZlaegUppW54cMWKFbo3iKTvChUqlGZ55ub6S6klBezlyZMnxbEajUYvfUFqwXNJD75XyytXrhx/\n/fUXf//9NyEhIfz000+sWbOG9evX54ggvKzkXdsus3Tm4sWLtG/fnvr16+Pl5UXXrl1ZunSp3jEW\nFimXgUwrCPRVudKaUXPnzh3atGlDlSpV8PHxoV27doSEhOjFFbwPJHmDy5cvz8WLF1M9JiEhQbdV\nr16dsWPH6n0vpcTc3Jzq1auzd+9e9uzZw969e5k0aRJbtmxh2bJl6ZIlrTQvCQkJWFtb68XRJdVb\ntGjRFMfv27ePPn360LJlS3x9fenbty9jxozROya1pLJp6dSr/VlaOpUeXX5fUHqlX15qmKpeGZ3h\ndO3aNc6dO8fw4cOpVauWbv+NGzfo2bMnW7duTfEbR0dHbt++Tf78+XVDKidPnmTp0qVMmTIlxfGv\nXpzXTdW0t7fH3Nychw8fUrlyZUD7JjFkyBD69+9PxYoV3+r8ypYty6lTp/T2nTx5krJly75VOUms\nXLmSfPny0axZMxo2bEi/fv2oW7cuoaGhuqE9Req8Tdtlpc5s2rQJT09Ppk6dqtt37dq1DOtEegkO\nDsbW1pYFCxbo9qW3I85JrFu3DmdnZ0qWLMnLly+JiYkhLCxML0YlOjoaR0dHoqKiCA4Oxs7OTtfp\nBwcHs3fvXsaNG8f8+fNxdXUlICCAgIAAjh8/TseOHXn48GEKo/ltpoiXLVuWZ8+eER8fr9OLiIgI\nJkyYwPfff59iVmVQUBCtWrXSPdTi4+O5fv061apVy3A7pQdD6bIxovQq8zA2vTK64PCtW7eSP39+\nPvvsMz788EPdVrduXdzd3XUR+sktWB8fH0qVKsXgwYO5ePEiJ0+e5Ntvv8Xc3DyFpwYgaX29s2fP\n8vLly9dO37S1teWTTz7h+++/59ChQ4SFhTFs2DAuXbr0VhctqY6uXbsSHBzMr7/+yrVr11i6dCm7\nd+/WxaS8em5vIioqigkTJrB//34iIyNZu3YtNjY272VH9ba8Tdtlpc4ULFiQS5cucfr0aa5du8ak\nSZMIDQ3VDe9mFQULFuTOnTscOHCAiIgIFi5cSEhISJbXa0iio6O5d+8ed+/eJTQ0lKlTp7Jt2zYC\nAwMB7UtYvXr1CAwM5MyZM5w+fVo348jJyYmPP/6Y2NhYRo4cSVhYGPv372fMmDG6SRw3b97k+++/\n5+TJk0RERLB582bs7Ox03yfH2tqap0+fcu3aNd1QRlp6Va5cOerUqcPQoUM5ffo0Fy9eZMiQITx6\n9ChVz0CBAgU4efIkoaGhXL58mcDAQKKiojJ8bdPbJxlKlw2N0qv3S6+MznDatm0bzZs3T9Xgad++\nPefOnePKlSt6VrWZmRnz58/HzMyM9u3b06tXL6pXr864ceNSraNixYr4+Pjw+eef8/fff78xmWFg\nYCC1a9dmwIABfPLJJ7x8+ZLFixenKiOk7p1I2ufs7MyPP/7I6tWrCQgIYMOGDcycOVNvjPhN3o3k\n5XXv3p3mzZsTGBiIv78/ISEhLFiwQG+ISJE6b9N2WakznTp1wsPDg65du9KxY0dy5crFqFGjdO79\nt0m2mdqxaX1u2rQpLVq0oH///rRp04bIyEimT59OeHi4LrbAWBLnZRaTJk2iTp061K1bl27duhEa\nGsqyZcv04s5++OEHHBwc+OKLL+jevTsVKlTQJRS0sbHhl19+ITIyktatWxMYGEirVq10Qb3Dhg3D\n1dWV3r1707x5c65du8aCBQtSbceaNWvi6OhIixYt9K51cpJ/njx5Mg4ODnTr1o1OnTpRvHhx5s2b\nl+p59uvXj6JFi/LZZ5/Ro0cPKlWqRM+ePTOkU6/K8Tody0xdNiWUXr1neiWlzND2xRdfjJCK94Lg\n4OAHQD6ZQV15123GjBmbs+M8FVnH0qVLT8ps1Jlly5ady6ZTU2QCI0aMmCsN1L+kd7OwsKgYGhqa\ndY2gyHT8/Px6yyzQBaPzOCkUCoVCoVAYK8pwUigUCoVCoUgnynBSKBQKhUKhSCfKcFIoFAqFQqFI\nJ5lqOEVGRuLk5KRb1NDY2bFjh26hxNmzZ6fI9JwdXL9+HVdXV70EmACHDh0iICAANzc3OnXqxH//\n/Zcl9R85coQ2bdrg7u5O8+bNU82TpdAn+UKVpsqri20mLRKcES5evKib9eLn58evv/6aWWIaDFPr\nyyD79PLGjRt8/fXXVKtWjfr16zNjxow0M0Mr0sYUdSyJ5M/ON9GpUyfdcmKBgYEMGTJE993OnTtp\n3rw57u7utG7dmgMHDmSJvJnNe+txunHjBv379+f58+cGk+HWrVv07NlTN/U7+f5evXrRsmVL1q1b\nR9GiRenduzdSpj+/U3qIjIykZ8+e1KpVi02bNtGhQweGDRumt3K2IiXr1q0jICDA0GJkKhmdyvv0\n6VO6d+9OyZIlWb9+Pf3792fGjBmsXr06kyVUvIns0Mv4+Hh69epFfHw8q1atYvTo0axdu5ZZs2Zl\nab0K4+Ftn51z586lR48egH7agH///ZeBAwfSrl07Nm3axEcffUSPHj24dOlSlsmeWby3hlOSEZLZ\nxkh62b17N23atEl1aY81a9ZQuXJlvvzyS8qVK8eECRO4desWhw4dylQZtmzZgp2dHYMGDaJ06dJ0\n6NCBJk2a6JKMKlKnYMGCajmbRPbs2UNsbCxjx46lTJky+Pv707lzZ6VDBiA79PLUqVNcvnyZSZMm\nUa5cOXx9ffnmm29Yv359ltarMB7e9tmZL18+XQby5L9Zu3YttWrVonPnzpQuXZp+/frh7OxsEqMe\nWWo4RUVFMWrUKGrXro2npyeDBw8mKioKgMOHD+Pr68uaNWvw9fXF3d2dwYMH62UC3bx5Mw0bNsTN\nzY1BgwYxcOBA5syZo/t+9erVNGjQAHd3dzp06MCZM2d039WvX5/JkydTp04dmjVrlmIoLGl1Zz8/\nPzZs2IAQgvj4eMaNG4eXlxe1atVi0aJFuuOjo6MZMWIEtWrVwtnZmSZNmrBr1y7d905OTmzcuJGA\ngABcXFxo3779a12we/fupX///owYMSKFAp46dUovcVqePHmoXLkyJ0+eBOD58+eMHTuWmjVrUr16\ndYYNG0ZMTIzuvNesWUObNm1wdXXlyy+/5MaNG/Tt2xc3NzdatWqlW1Haz88vRZJQGxsb3eKUxkyL\nFi30hoR69+6tt+jlrl27aNy4MaD1iiRl6fXx8eG7777TtRdoH/6tWrXCxcUFLy8vBgwYoGuD2bNn\n8/XXX9OpUyeqV6/Ovn37UgxzzZs3jy+//BJXV1f8/PzYu3evruxHjx7Rt29f3N3dadiwIStXrsTJ\nySnN83qdLKmxfPly3T3QpUsXrl69qvtu/fr1+Pv74+rqSuvWrTly5Mgb2zUuLo4ffviBunXr4uzs\nTP369Vm5cqXu+1fvKzc3N2bOnKmX2NNUdCg9/PnnnzRq1AhXV1e+/vpr3VqZoPXwNG3aFGdnZ2rU\nqMHo0aNJSEggLCwMJycnrl+/rjv27t27VKpUiStXrgCv77uS07t3byZMmKD7PH78eKpXr677fO7c\nOdzd3YmNjc1UvVyxYgUNGjTAxcWFjz/+mJCQEEC72Or8+fMpUqSI7ticdL0NgaF1DCAsLIzu3bvj\n4eGBi4sLHTp00JXzKsmfnRs3bgRg4cKFNGzYEGdnZ3x8fPQ8kGmFAnz66acMGjRIb5+p6FKWGk59\n+/YlNDSUn376iaVLlxIeHs7QoUN13z98+JDt27ezaNEiZs+eze7du3VvLseOHWP48OF0796dDRs2\nYG1tzfbt23W//euvv5g1axYjRoxg06ZN+Pr60qVLF71x1y1btrBo0SKmTp2aYpHDoKAgQOvd8ff3\nR0rJ6dOnEUKwYcMGevbsyZQpU7h8+TIAEydOJDw8nMWLF7Nt2zaqVavGqFGjiIuL05U5b948RowY\nwbp164iKimLatGlpts33339Pu3btUrXa7927xwcffKC3r0iRIty5cweA7777jsOHDzNnzhyWLVum\newNMYtasWQwePJgVK1Zw9uxZWrduTd26dQkKCsLMzEw33lyuXDm91bjDwsLYtm0bjRo1SlNuY6FO\nnTo6Q0BKyfHjxwkLC9MZRPv376dOnToADB8+nKioKH7//XcWLFhAeHg43377LaBdl+mbb76hQ4cO\n7Nixg5kzZ3Lo0CFWrVqlqyskJIQmTZrw22+/4eHhkUKWhQsXEhAQwNatW6lcuTKjRo3SXdeBAwfy\n8OFDVq5cyahRo5g7d26aw2LpkSU5QUFBzJgxg0GDBrF582aKFy9O7969Aa3R9P3339OzZ082b96M\nj48PPXr04NatW69t159//pk9e/Ywe/ZsduzYQatWrRg/fjz37t3THZP8vipdurRe1vt79+7x+++/\nm4QOpYf169czbdo0li9fzvnz53Xr+h07doyxY8cyaNAggoODGTNmDOvXryc4OJhy5cpRqVIlvRer\nXbt26ZaPSqvvSt7GSSTXc4CjR48SHR2t65f2799PjRo1Us1In1G9PH/+PBMnTmTEiBHs3LkTf39/\n+vfvT3R0NEWKFKFevXq6OmJiYvj555/x8/N798Z+TzG0jkkp6d27N6VKlWLTpk2sWrUKjUbD5MmT\nU5U3+bOzadOmbNq0iSVLljBu3Dh27dpF3759mTdvnp6hlrzPS9LBqlWr6hnrR44c4fDhwybRd2SZ\n4XTx4kWOHj3KpEmTqFq1KlWrVmXKlCns3btX5/GIj49n+PDhlC9fHh8fH+rUqcPZs2cB7QKsTZo0\n4bPPPqNs2bKMHj2a4sWL68r/5Zdf+Oqrr6hfvz6lS5fm66+/xtnZmTVr1uiOCQgIoEKFCqm+4Set\n8ZPcvV20aFFGjBiBvb09Xbp0IV++fLoVrr28vBgzZgxOTk6ULl2arl27EhUVxd27d3VldunShRo1\nalC+fHnat2//Wgv/dbx48SJFR2hhYUFsbCzR0dFs376dkSNH4unpiZOTE6NHj9ZbA61ly5bUrFkT\nZ2dnvL29qVChAp988gnly5cnICBAzyuRxI0bN+jatSt16tShbdu2GZI7O/Hx8eHYsWOAdhXyAgUK\nYG9vr/PKHTx4EF9fX/777z92797NDz/8QIUKFahSpQqTJk1i165d3L59G41Gw8iRI/nkk0+ws7Oj\ndu3a1KxZU6ejoNWRjh07UqFCBWxsbFLI4uvrS8uWLbG3t6dXr17cvXuXO3fuEB4ezsGDB5k4cSJO\nTk7UrVuXfv36peniTkuWtN78Vq1aRefOnfH398fe3p5Ro0ZRv359oqOjWb58OZ9//jktWrTAwcGB\ngQMH4uTkxPLly1/brhUqVGD8+PG4uLhQqlQpevbsSXx8POHh4bpj0rqvnjx5Qrdu3ShZsiS9evV6\nbT2mwuDBg6latSouLi40bdpU1x9YWVkxYcIEGjZsSIkSJWjcuDGVK1fWXSt/f3+9h9qOHTto1qwZ\nkHbflfRASo6Pjw+XLl3iyZMnPHnyhP/++49q1apx4sQJAA4cOICvr2+qsmdUL2/cuIEQAjs7O0qU\nKEHPnj2ZN29eilXvY2Nj6d27N7GxsYwYMeIdW/r9xdA69uLFCz799FOGDh2Kvb09lStXpmXLlmn2\nO68+O4sXL86kSZOoUaMGdnZ2fPbZZxQpUiTN36fGuXPn6NWrF507d9Z7ETNWcr35kIxx9epVbGxs\ncHR01O1zdHQkf/78hIWFkT9/fgBKly6t+97GxkY3O+PSpUt6D3Bzc3OcnZ11n8PCwpg+fbrOewLa\nYYYSJUroPpcsWfKtZH71eFtbW93QYcuWLQkODmb16tWEh4frDLzkQ4D29vapnsvbYmlpmSJgPC4u\nDltbW65evUp8fLxeW7i4uODi4pKqHLlz59Y7r9TKBq0Xy8HBgSlTpmRI5uzGw8OD2NhYnYHu6emJ\nRqPh+PHjODg4cPv2bby9vTlw4ABSSr23ZNC+AV27do0aNWpgYWHB/PnzuXLlCpcvX+bKlSs0b95c\nd6ydnd1rZXlVh0F7vUJDQ7G1tcXBwUH3vaura5rlODg4vFGW5Fy9elXPQLG1tdV5dK9evUqfPn30\njndzc0vVaE5Ow4YN2b9/P5MmTSI8PJxz584BkJCQoDsmrfvqxx9/RKPRsGDBgjTXcTQ1kl/b5P1B\nlSpVsLS0ZNasWVy5coVLly5x/fp1Xafv7+/P9OnTuXPnDmZmZpw4cYKJEycC6eu7krC3t8fe3p4j\nR45gZmZG1apV8fLy4vjx47Rs2ZITJ06kuSZnRvWyTp06uodn+fLlqV+/Pm3btiVPnjx65S9dupQr\nV66wbt06XX+ueHsMrWNWVlZ8+umnbNy4kbNnzxIeHs758+dTXUA4Nby9vTl16hRTp07l6tWrXLhw\ngfv37+v1Ga9Do9EwdOhQ6tWrpzciZcxkmeGUVpBiQkKCXoNaWFjofZ/01mNubp7izTy5kaLRaAgM\nDMTHx0fvt0mr2L9OhrR4dTgvuTxDhgzh5MmTtGzZkvbt21O0aFE+/fRTvWPTOpe3pVixYilcqvfu\n3aNChQrpeiCZm5vr/k/P4oexsbEcPHiQZcuWpXirNFZy586Nt7c3hw8f5vjx43z00UfEx8ezdetW\nSpQoQfXq1bG0tCQhIQFra2s2bdqk93spJUWLFuXixYu0b9+e+vXr4+XlRdeuXVm6dKnesW/So1ev\nexK5cuV6Kx1IS5a0ykirXiDFQw60Ht5XY/1eZfr06axZs4a2bdvSokUL/ve//1G/fn29Y9Jqj717\n9zJw4EBsbW1fW4cpkfxegv+7p/ft20efPn1o2bIlvr6+9O3blzFjxuiOK1myJC4uLuzcuRNzc3Mq\nV66se6FJT9+VHB8fH44cOYK5uTnVqlXD09OTTZs2cezYMezs7ChVqlSqv8uoXubJk4fVq1dz7Ngx\nQkJC2LlzJytWrGDFihVUrFhRd9yePXvo2LGj3kiA4u0xtI7FxMTQtm1bChYsSMOGDXWjEgsXLkyX\n/EFBQUyYMIF27drh5+fHsGHD6Ny5c7rPPyIigrCwML2YYmMny4bqypYtS0xMjN6Qx5UrV4iOjtYb\nVkqLDz/8UOfVAa3BdeHCBb3yb926pXsjs7e3Z8mSJekKgIW3m34dHR3NH3/8wbRp0+jXrx8NGzbU\nBfBlxaw8V1dXjh8/rvv8/PlzLly4gJubG6VKlcLc3FznCQCtu75x48YZliU6OhpfX18976Ap4OPj\nw6FDhzhx4gReXl54eXlx+vRp9uzZo4tvKlu2LM+ePSM+Pl6nJ6CNWYuOjmbTpk14enoydepU2rdv\nj7OzM9euXcuU61quXDliYmL0AjiT6/SrpCVLWjg4OHD+/Hnd52fPnlG7dm0uX75M2bJl+ffff/WO\nP3Xq1BvvvVWrVjFq1CgGDRqEv78/z549e8NZ/h9VqlShUqVK6T7eFEnqN4KCgmjVqhVjx46lbdu2\nODo6cv36dT29ad68OXv27OHPP//UDaHA2/ddSXp+/PhxPD09cXNz4/bt26xfvz7NYbrX8Sa9PHjw\nIHPmzMHLy4vBgwezfft2ChcuzL59+1KUkzxGUpE5ZLeOHTlyhNu3b7N8+XK6detGzZo1uXHjRpp9\n4KvPzpUrV9KrVy++/fZbWrRoQYECBbh//366+9C4uDjq1atnUgZ4lhlOjo6O1KtXj8DAQM6cOcPp\n06d1M5teN6soqbE///xzduzYQVBQEOHh4UycOJGbN2/qLtoXX3zB8uXL2bhxI//99x9z5sxh7dq1\n6X74J1neFy5ceOPDwdLSEisrK3bu3ElkZCT//POPziWa2rDXu9KmTRtOnz7NTz/9xJUrVxgxYgR2\ndnbUrFkTW1tbWrduzfjx4zl16hTnz59nypQp1KpVK1VjMD3KW6BAAcaNG0fevHkz/VyyEh8fH/bt\n24cQAnt7e8qWLYu1tTUhISG6B0q5cuWoU6cOQ4cO5fTp01y8eJEhQ4bw8OFDihYtSsEQZ4VXAAAY\nmUlEQVSCBbl06RKnT5/m2rVrTJo0idDQUL3ZnW8irTYuW7YsPj4+jBw5kosXL3LgwAFmzZqVptH+\ntrJ07tyZ5cuXs2vXLq5du8b//vc/ChUqRPny5enWrRsrVqxg48aNhIeHM3XqVC5dukS7du1eey4F\nCxbkr7/+IiIigmPHjjFs2DBy5cqVLj0fO3as3vBPTiTpWhcoUICTJ08SGhrK5cuXCQwMJCoqSu9a\nNWnShBMnTnD8+HH8/f11+9+27/L29iY8PJzLly/j7u6OlZUVlSpVYtu2ba81nDKql0nDxatXryYy\nMpI///yT27dvU6VKFb1yBg4c+NqhZ0XGyG4dK1CgAC9evNA934KCgggKCkrznk/+7IyJiaFgwYIc\nPHhQF8IyYMAAhBDpfjY6ODgwbty4N3rDjYlMN5ySPxR++OEHHBwc+OKLL+jevTsVKlRg/vz5qR6b\n9Dlpn5ubG//73/+YN28erVq1Ijo6Gg8PD5372d/fn0GDBjFnzhyaN2/On3/+ybx5815rlCWnYMGC\ntGrVikGDBhEUFPTaIS0LCwumTJnC7t278ff3Z+7cuUycOJGSJUvqvfGndS5v4tXjSpYsyezZs9m0\naRNt27bl4cOHzJs3T/f9t99+i4uLC927d6dbt25UrVqVYcOGpavs1OS6efMmPj4+KTwUxk6ZMmUo\nVqyYXuoGLy8vSpYsqedZmTx5Mg4ODnTr1o1OnTpRvHhxXXsmZbzu2rUrHTt2JFeuXIwaNYqLFy8C\n6buOqbVxEhMnTsTGxoZPP/2U0aNH06ZNmzSHQ98ky6sEBATQs2dPxo8fT6tWrXj06JHuvPz8/Bg8\neDCzZs2iRYsWHD16lEWLFlGuXLnXnsuECRO4dOkSzZo1Y9y4cXzzzTd4eHikqefJ8fHx0Zv5auq8\n7t7p168fRYsW5bPPPqNHjx5UqlSJnj176l2rIkWK4OHhgbOzM8WKFdPtf9u+y9raGnd3d8qXL68b\ngq1WrRqWlpZ6qQnSI38Sr9NLLy8vRo8ezeLFi/H392fy5Ml8++23KYJ227Zty+LFi9OsX/FmjEHH\n3N3d6dOnD+PGjSMgIID9+/ezcOFCoqKiuH37dorjkz87161bx4gRI3j+/DktW7Zk0KBBNG/enObN\nm+uNEKV2fkmcOHECHx+fVOsyWqSUGdq++OKLETILOXXqlLx69arePn9/f7lhw4asrFaRCsHBwQ+A\nfDKDuvKu24wZMzZnx3lmNs+fP5e7d++WcXFxun3btm2TH330kQGlMgxLly49KbNRZ5YtW3Yum07N\n5DBGvRwxYsRcaaD+Jb2bhYVFxdDQ0KxrBEWm4+fn11tmgS4Ybebwf//9lx49enDy5EkiIiL46aef\nuHPnji52RaEwdnLnzs2IESOYM2cOERERnDx5krlz59K0aVNDi6Z4j1F6qVC8GxmeQpXeqYYZpWPH\njkRGRtKvXz+ePn1KpUqV+PnnnylcuHCW1qtISXx8vAYw2AC0RqMxzLo474iZmRlz585l8uTJLF26\nFFtbWz7++GP69+9vaNGyHU02BzBIKU1SZ7IDY9TLhIQEow9wiYuLk/Hx8RLI2MKOimxFo9EkPbsy\nnQwbTvfv37/38uXLLFsbydzcnOHDhzN8+PAsKV+Rfu7fvx8FxLzxwCwiOjr68ZuPMk48PT3VgrfA\ns2fPHmVnfc+fP8/W+kwNY9PLBw8emMI9fu/mzZuPKleuXMjQgijezO3btzWPHj1KfxbOtyDDQ3Xb\nt29fuWvXrhuZKYzCOAkPDz9myDf4I0eO/JN8bTmFaSGl5MyZM8eys87z588ff/NRCmPg7Nmzzw4e\nPLjO0HK8CSnlozNnzii9MhGCg4MvnDx5ck9WlJ1hw0lK+XTdunULr1+//iIzBVIYFxs2bLj8999/\nTzWkDFu3bl02ZsyYbcnXBVSYBlJKZs6ceTgkJGR6dta7d+/eqfPnzz+uRuyMm0ePHmlmzZq14syZ\nMyYxpXfv3r3T9uzZoxwGRs7Zs2ejdu7cOUdKmSUxReJdO5bmzZu3r169erPixYuXyZUrl1GvsxAb\nG2t58+bNKoAoXrz4hTx58qQ/u99b1nP37t3y1tbWDwsVKnQzK+rISqSU8uXLlzGhoaGnDx8+/POh\nQ4fOvflXWYsQIk+HDh0Genp61syXL18RMzMz8zf/KmcSFxdnYWFhYdRWpEaj0Tx79uzxmTNnju/f\nv3/m+fPn7775V5mLs7OzXa1atb6pWrWqh7W1dX7xNllvcwAJCQnmQghpZmZmdPFDCQkJ8ffv379x\n5MiRPRs3bpxvSjFpH330UY1q1ap1dnR0rGxhYWFljHoVGxub+8aNGy7m5uax9vb2p7NCRCklt27d\ncnr58mXe/PnzRxYqVOj1K4hnMVJKmZCQEPvff/9dOXr06LqdO3duzaq63tlwMhUSlXsfUBvoLKV8\n/Wqn71aXLRAGWAPlpJTZ/tBQKBQKxfuJEGI58DnQUUr5exbW8wFwDCgFBEgp/8iquowJo01HkNkk\nvtF0AQZnpdGUWFc08D1gC6jo9vcAIURJIUQjQ8uhMG6EELmEEB2FEO9N36vIXoQQLkBH4BSwKivr\nSnQKtAJigRVCiJSrCOdA3huPU3YjhMgNXARKAhWllNcMK5Eiq0j0Zm4F/IF6Usq9BhZJYaQIIQKB\nicAIKeUEQ8ujyHkIIdajNWb8pZTZkspfCNEJKADMMaVh14yiDKcsRAjREfgNWCal7GJoeRRZgxDi\nC2AJsBvwy+6OQwhREmggpVyWnfUq3g4hRBXgBPAQqCKlfJjN9VsB3YF5WRU0qzA8if1BB+DH98GI\nMQTKcMpCEt3xG4GgrB4eVBiGxE7qHNph76pSyutv+Elm1y+Ao4A7UEtKeTg761ekDyFELuAAUA1o\nIaXcbAAZZgD/DxggpZyR3fUrFDmFHGs4CSHyAp8Ci5TVrcgKXhmi6ymlXGggOeoBe9AODbtLKVWK\nECMj2RDdCinl5waS4QO0Rr4N4CqlvGwIORQKUydHBigmenqWAT+jnVmgUGQFdoArEIxW1wyClDIE\nmAM4AWMMJYcidRL7oybAbeAbQ8mRGMjbB7AClggh3tuUHoqsRwhRUQhR3tByZAU50uMkhBiJdlZb\nCNBIShlvWIkUORUhRAHASkpp0BwmQggb4DRQBjVkZ3QkGimOxuDlEUIEAW1RQ3aKLEIIYQdcACKB\nGlLKpwYWKVPJcR4nIUQzYCzwH9BOGU2KrERK+djQRlOiHDHAl0AC4GFgcRSvIKVMMAajKZE+wH20\ncXEKE0cIYSmEWC6EqGZoWZKQUt5EO2GmMvBrTku/kaM8TkKICmgDZXMDtaWUJwwskh5CCEu0sx2W\nqVktiqxACFFSSqmWhFC8FqUnOQchRH9gOjBNSjnI0PIkIYSwAHYB9YCRUsrxhpUo88hphlNpYAMw\nXUr5m6HleRUhxFRgINBFTR1XKBQKxbsghMiHdpWK3GhXqbhvYJH0eCWzeHMp5TYDi5Qp5Cj3mZTy\nP7TjqUZnNCUyC22G1bGJ3ieFCSG0dElMbqpQpIkQokXiQ0OhyEoGAkWAKcZmNIFeZvEnaOXMEeQo\nj5MpIISYBgwA+kspZxpaHkX6SZbocp6Uso+BxVEYKckSXYainfavOllFppNomIcBMcCHiUt9GSVC\niAJSyseGliOzyFEeJxNhAvAUGJmYa0phAiQmupyB9tr9YGBx0o0QoqkxBY3mdBITXS5BO3Qy0lSM\nJiGEkxCinaHlULwVLkA88L0xG02gnURjaBkyE5M2nIQQRU0tWj/RnToFrduyg4HFUaSDxESXC4H8\naBeJ/s/AIqULIURF4A9gmRAij6HleU8YjDY7+ApDZAfPCIlBvMHA0pyadycnIqXcDThiwBxy7ysm\nO1SX6K05jDZbskmlHRBC2AIfAVtN5Y30fSbZEF0w0NiUrpkQYjbQF5gspRxmaHlyMoZei+5dSPQ2\nrQb2A3XVrF9FViOEyGOqqxyYlLcmiUQv069AJeC6KRlNAFLKaCnlFlN6AL/nNEQ7RNfdBK9ZIHAV\nGCyE8Da0MDkcXyAX2uV3TMZoApBSrgHWArWBfgYWR5HDEUK0Aa6YqofTJD1Or2QG95NSxhlWIkVO\nJnGo7kMjSmD4Vqi17LIPIUR5E9YTtZadIlsQQnRCuyzaeUwws7jJeZxSyQyujCZFliK1mOxDJNla\ndtZol2RRZBEmridJa9lJwNnA4ihSQQhRxNTielNDSrkcmImJZhY3OY+TEGI72kykRpcZXKEwVhLX\nsjOXUj4xtCwK40YIUVxKedvQcij0SfR87wPyoI1DizGwSO9EskkJdTGxzOKmaDhZAp5SygOGliUz\nSJy+PAKoIKXsaGh5FAqFQmF8CCECgM3ARillK0PLkxkkyyxeGG3mc5Mw2E3OcMppJL5FhKANLK0j\npfzHsBIphBBNgEtSyquGlkVhvAghKgPFpJR7DC2LImcjhDAHTqGdEFVVSnnewCJlGkIIDwBTGkFS\nhpMRIISoCRxAOxW4jgnO3MoxJCa6PAc8B8qqQGpFaiR6ig+gzdnkIqU8Y2CRFDkYIURntDPJl0gp\nuxlanvcdkwrI+v/t3WmsXVUZxvH/w1BlaEsRRARlUJCZMNQBBBxrlDSkkWIMBQyCFCpg0xJb2koH\nKRiNlMkIKi0WhbRYESKKKBZstBUCBiQENMYAKpQCQZkNff2wFni49NI7nHPW3mc/vy/9cnvOk/bc\nfdbea+/n7VUR8QfgZ6RHgY8uHKex+hRdntfLiyZJb5U03cWYQ9ZadNmzi6Y8n/HEuj423gvy7Snz\ngZeAuWXTGFR84SRpT0nXStqmdJYumAWsBy7Il2Wt+04CPkO6YbHX23inkxrs5xbOUTu56HIe8Bhw\nVuE4nXYk6UrHVXV78qmHvEIa1TWvLlMLel1lt+pamsH3BiZGxPWFI3WcpMXA9sBJEfFk6TxN0rJF\ntwmwX68foPJTdveS6gkOi4g1ZRPVQ58tumPqMlZlOCQtB44FpkbEotJ5rPdJmgQ8FRE3l86yIZVc\nOOUzm+uBCcCiiJhaOFJXSNrcvVRlSJoAXAucFRFXls7TDS3FmA8AB/fy1mS7SNqT9DDHbRExqXCc\nrnAxpnVTPon9K2lrcmwVP29VXTjNAr5OOqiPq9tIFasnSbsBf2/Szfkts+y+EREzSuepA0nbknpR\nny6dpVtaZtmtInUIrS8cyXpY1ZvFK7dwknQEcDvwCHBoRDxROJJZz2rZsruH1MTvL0TboLxltxfp\nZPZfpfNYb5N0MekewhXAsVU6oa3iwmlz4ELS0yq16XUwq6u8FfNElQ5MVj35IZ3nI+Ll0ll6Xb76\nPQ64qqm3b/RpFp8ZERcWjvSayi2c7P8k7Qo8GxHrCkcxM7MukbQUmES60vKT0nlKySd115HuPf1z\n6Tyv8uOlFZW3LB8CZpfO0osk7SRpYukcVm2SNpN0Wj77Nes4SQcAxwN/An5aOE5REbE2Ij5WpUUT\neOFUZWtI93mdnq88WZu0FF0ukzSudB6rtOnAd4HzSgexxlgIiLQ95XsOK6j4wknS4ZK2K52javJ9\nBHOAEaSyPWuf1qLLWwtnqRxJe0g6pXSO0voUXX67cJzKkTRa0gwX9rZP3mk4mvSA1C2F41g/ii6c\ncifKzcAduVjOXu860mDHEyTtXzpML8gdIYuA/wCn+Ibo18tX41YAV0j6QOk8peTj0WLSictpEfFU\n4UhVdCFwAXBm6SA95NVusBk+NvVP0oEl37/YwknSKOAGYBSw0F1Nb5Qv084kXbadXzhO7fWZRTe9\n19vBhyIfrM8kHRsWN3iWXessup5vBx+i84B1wELPsmubyaRB76tLB6kqSfOAeyQVm+taZOGUm8Gv\nJo1TWRQR15TIURO/JN0gPq10kB6wPfBemjGLbsgiYiVwGen3c27RMAXkBfYHacYsuiGLiLXAFGAL\nPMuuLSJZVTpHxd1IahX/UakFe5E6AklzSFdQVgKf9NUm6xZJWwAj80Hf+tH0WXZ58fQuX5XcOM+y\ns24r3Sxe6gxhK+BhUlOxF03WNRHxghdNGxcRzwFfBF4EGrcNk8/8vWgamCnAE8BupYNYM0TEUuBi\nYB9gST7R6ZpiBZiSRkfEM0Xe3MwGRNLbIuLJ0jms2vw5GTpJm0bEK6Vz1E1Ls/gOwJHdHM/m5nAz\nM7MC8kNSdwGXRsSlpfPUTa4yejki/t3N9/XNfDUjaX9J35f0ltJZqk7JGZK2Lp3Fqk3ScS6atQKm\nkbbCR5cOUkcRsa7biybo0sKpwY80d8LJpHtPJpcOUgMnAZcDl5QOYtWViy6XAr9ymaN1S57DNg14\nnNQtZzXR8YVT7lp4SNKhnX6vhjifVN44W9LI0mGqqk/R5dyyaXpDvoL3eUnvL52lXfoUXU73vSbt\nIWmspONL56i4WaQHpRZExLOlw/SKfJzq6M3iHV045WbwH5P6czxzpw0iYh3wTWA73O20QS667Jj9\nSL/PS3roKrKLLtssfzZuBL7nYswNk7QbcDrwN9wp1za5bmYJcG4n36djC6c+zeBfioi7O/VeDXQR\nsBaYli/32uu1zqLzQalNIuI+eqgYs88sOhddtklEvEj693QxZv9GAHcAc/JcUmuPrYGPAgs62Sze\nkQ90n2bwi3PngrVJvqy7gDSK5ZDCcaroEDyLrlNmkM6Sz+mBWXYH5z89i67NImI5sBz4MF6UvkFE\nPBgRnwCuLZ2ll+RKggl0uFm8I3UEko4itYKvBMZFxH/b/iYNJ2kEMCYiHi+dpYok7RwRj5bO0Ysk\nfQT4LfAAcHC+wlBL/px0Tr4afj/pPp4DI+IvhSNZQ3S6WbwjV5wi4nZgPKkZ3IumDoiIl71o6p+/\nDDunZZYdwI4FowybPyedkxv6zyC1z+9eOI41SN7luoTULP61dr++CzDNbNAkbQmsr/PVJusOSWMi\n4unSOaxZcrP4V4GL8gip9r22F05mZmadJekgYG1E/KN0FhseP+3QI3J1xZjSOUqQNF7SAaVzWLVJ\n2kfShNI5rHlyseoPgQclbVs6jw1PWxZOks6SdEQ7XssGL3dX/A64qdtTokvLRZdLgdskbVU6j1VT\nLrpcAqyQNLZwHGue40k9aMv8BGf9DXvhlLsSFgGL856idVlEvACsAw4HOtZdUTV9ii7Pbfc+tg2c\npFGS5lW4GLO16PLO0mGaStImks5uUjFmnis6n/SI/NyyaZpN0laSvjLcbrFh/eWWZvCX8BN0pc0i\ntbNf0KB5Wy66rI5zSE+vzC2c4w1cdFkpHyedaDepGHMysAtwuacYFPctUoH0zOG8yJBvDs/N4KtJ\nJZcnRMQ1wwliwydpMfAF4MReLx3NW3T3kxb/+/mAVFbeJr0X2BU4LCLWlE2U5C2635OuNh3jsSrl\nSVoGTASmRkRPD7fNuzAPA1sCu0fEk4UjNVruFrsL2BkYHxE/H9LrDGPhdD3wWWBRREwd0otYW0na\nBXgI+CewV0S8VDhSx0j6FKmZeHpEXFk6j1WzGDP/TvwGWB0Rk0rnseYVY0p6H7BvRKwoncVA0iHA\nKtJO2dihfP6Gs3D6NHAq8Dlv0VWHpDmkcSPf6fUZSJJ2BB7zWJXqkHQp8GXgGxExo3QeeO1q2GYR\n8UzpLJZImggsI32BHRURHgJvXTPcZnH3OJlZ27Rs2d1GGu7tA4xtUN6y24m0hbqudB5rFkmLgDHA\n5PyA1cD/ro9rZtZOkkb76o5tjKSRwPMR8UrpLNY8+SGq9UM5ufPCyczMzGyABvQ4aO7eOKjTYcz6\nI2knSac2reDTBkfSZpKm5Vl6Zl0n6QBJy5vUVdU0A+3ROBe4K9/QZzUhaVNJJ0jatXSW4ciLpStI\nZZfjC8exaptG6mqZXzqINdZC4FjgPaWD2ODkIt+RG/u5jS6ccjP4fOBRYOXwo1kXjSc9OVD3L5ET\nSY3otwI3Fc5igyTpIElTuvA++5A+64+RvrysRiTtIGlBnQt88+ixo4HbgVsKx7FBkPROYA1w9cbK\nWd/0HqfcDH4nMAI4PCLubmdQ66z8n38PsD+pL+W+wpEGzUWX9Za/BO8H9gA+FBF/7ND7uOiy5iT9\nADiZmhZj5ivjq4DDSJ/11YUj2SDkstJbgaOA2RFxfn8/u7ErTjcAo4BTvWiqn9yNMhMQNTwDb9mi\nG00quvSiqWbyE1OTSceaJR2cZTeNtGi6xoum2ppJmrm5sKb3B40nLZpu8KKpfnIf5XHAI8CCN/vZ\njS2c3k5qBvc4lfr6BXAHsHUNb5jdBngH8Gs8i662ImIlcBlp7MQu7X79vMDem7RFd3a7X9+6IyLW\nAlNIMzf3LRxnKN4NPAfMLh3EhiZ/BieQWsX75ToCMzMzswFqynRqMzMzs2HzwsnMzMxsgLxwMjMz\nMxsgL5zMzMzMBsgLJzMzM7MB8sLJzMzMbID+B4YMyxkzZkh/AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x102799198>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The binary splitting makes this extremely efficient.\n",
      "As always, though, the trick is to *ask the right questions*.\n",
      "This is where the algorithmic process comes in: in training a decision tree classifier, the algorithm looks at the features and decides which questions (or \"splits\") contain the most information.\n",
      "\n",
      "### Creating a Decision Tree\n",
      "\n",
      "Here's an example of a decision tree classifier in scikit-learn. We'll start by defining some two-dimensional labeled data:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.datasets import make_blobs\n",
      "\n",
      "X, y = make_blobs(n_samples=300, centers=4,\n",
      "                  random_state=0, cluster_std=1.0)\n",
      "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='rainbow');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAFVCAYAAAA30zxTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109787e80>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We have some convenience functions in the repository that help "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from fig_code import visualize_tree, plot_tree_interactive"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now using IPython's ``interact`` (available in IPython 2.0+, and requires a live kernel) we can view the decision tree splits:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot_tree_interactive(X, y);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAd0AAAFRCAYAAAAxT3fNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd4VVXWx/FPOoTeewelg4goIAqIXdHRUbG3UUd9nbEz\nNhDUsYzd0bGPjo6OOjqWcewVwV5Q0FClSu+dhOT94yRyc3MTEkhyL+F8nyePnn1/Z691bmGfs/be\nayXl5eUJCQkJCQkJqXiS4+1ASEhISEjIrkI46IaEhISEhFQS4aAbEhISEhJSSYSDbkhISEhISCUR\nDrohISEhISGVRDjohoSEhISEVBKpFW4hKWnPqJbOyCrhONTs5JrJ9Mli9LG0iBTNZNOTXDeG9+Pt\nY6gJNaGmQjXxth9fTV7e14ohfNINKXde56CjowZcaE9GfQ6Oh08hISEhiUA46IaUO5nUTinmtdrU\nq1RnQkJCQhKIcNANKXc28Mv6Yl5bzPxKdSYkJCQkgQgH3ZBy5yw+fJwfo9vHsSSDF+LhU0hISEgi\nUPELqUJ2ORqQ05grbuHizvSqTtoc5i3noZExBuOQkJCQXYXKGHQ7Rx0P2MZxqKkCmuOZgCcXk7aB\n5IPZEysV/j4k/HWEmlATarZLE2/78dYUu3q5Mgbd6OXWsdpCTRXVNN56vCke9kNNqAk1cdPE2368\nNTEJ53RDQkJCQkIqiTC8HGripYm3/VATakJN+PuuKE0YXg41CamJt/1QE2pCTfj7rihNTMLwckhI\nSEhISCURhpdDTbw08bYfakJNqAl/3xWlCcPLoSYhNfG2H2pCTagJf98VpYlJGF4OCQkJCQmpJMLw\ncqiJlybe9gf8j+ZZDM6kxmrmnsu6unH0J9SEmiqkibf9eGvC8HKoSUhN3Ow/wP49uPpS6sJGPM7M\nFvznKJYmos+hJtTsZJp424+3JiZheDlkl+Nrqjfl6EH5Ay5Uw/m0n8wFcXQtJCSkihOGl0NNvDRx\ns/8OQy+lUbQgCe3Yy9bvbML4HGpCzU6mibf9eGvC8HKoSUhNXOwvpncJX/wtUecmhM+hJtTshJp4\n24+3JiZheDkkIVlVgd/Nobz5blDxqAi/hKUHQ0JCKpAwvBxq4qUp0pbDgLv4TRP2rEOd5SxLY8Ep\nPFSe9o/AY0ydSe/2pEMeXmHl7nwoDC+HmlCzo5p424+3Jgwvh5qE1BRqu5OTz+OQOsH0KtSbT9tR\nfD2Wp8vT/tncO4om9TiwJjXnM/cAPhvE+O24jlATakJN4tmPtyYmlTHohoRskw+p2YO9IwZc0ILU\njhy+jGcbBPOt5cZYPhL8FRAdlakUbqVHHgetoul1fJQZPHiHhIRUQcLwcqiJl6ZQ2yR6jqB+DI1u\ntPmWvYexvJJ9rDDNZgbexn4bOfIkGnUldTEjnmRGOx45hPmJ5nOoCTVl0MTbfrw1YXg51CSk5te2\nFNbNZmPDYMtsIX5hRXO+xYY4+FjumqdouYYDW9HhFJJS8tsbk3Q+He/mhAM4Ny2BfA41oWY7NPG2\nH29NTMLwchVjHDXf4IQ2dPuF2e144Qx+KW87T9FsKkdXp1pdFp5DVtoO9Hc+c+/mpz3ZI7J9C77h\n8yO3Drg7PQu5/GI6voWUGK8Pp8ct9LqOTXATe+Sxfw3q5vKvy8rwAw8JCUkswvByFdK8SYslXDSW\nlqmCicH3OPJRnvhd/ird8rB1D8N6cewp1ErCL+TexuALuLdeME5uV/jpcL6/m/Th7NaetEls/IBf\nzuAVVWRF8fvUH0Tf9agV40RoSVoqe+WSezNnHs+gTvmf3/cMu5V3RvJcZfkcakLNdmjibT/emjC8\nvCtofuTsS2lZ0JCEYdR9gsPXcUONcrA1nnrdGDM4YsxoTvLl7DmWgTfxcBl8LtTWCRdy3830WUHH\n5vxwRXDvkPDvfWk1n7DbKVSrrXCC50jGsawbL97NsecwuHHEA3FPqtXg4LG8MYovKsPnUBNqtlMT\nb/vx1sQkTI5RRZhEtd3oEeu1w+n4KL3Kw84EBh8QY8FTBtrRd0f7T8MovrmL56/gpx3tL9E4i5mf\nMjMJDTAt6vVV5H3Au8NZUYNejWNEoDuQnsEBleJwSEhIuRKGl6uIphYZabFDyDJIakB35fBZNKBt\nUgwRVKdOvo1yDz9NJvM19m9Ah9b8+2AWbk8/8da0xBI+/ZnWg0kdh+/zX1vE0nV8MIr/onMtmsTo\nG9SlsdjvdcJee6jZpTTxth9vTRheruqaNmS9yqSDY3wB3mD2QfyrPGwl87/pdO8YPNwWYhbfRWjL\nLfw0hi59+N0VNEnG53S7hteu58604s9LqM8n8vhish5gFfaoQ6NVLE7iuwt4PPKEuXyTQ/voH+la\nzOQTxb/XCXvtoWaX0sTbfrw1MQlXL1chNvP3N2h3KM0K2r5n7Y88cwLZ5WHjDKZczXtXc1jNiPZn\nmNmWf5SHjUjepskQLtwvogzfPtRqx/GjmfZnXitvm7HIxvXsk0nvHiwazood6e8CJig8yBZJzDGC\nN+5ht0voWTAPlIO7+fySYHFZSEjITkY46FYhLuPbx/i/GzihFbstYV42/x3DV8ox29JIrr+Bqe3Z\nO51qK1jWlHtProCtSd8z5LKIAbeAJqQ2Yz+VMOjeT1dccSFdG5PyIb+5ljdHc1dJ26SWkfIXTtud\nwUnkzGV6R548sZTvUxs29eMPozizDd3SqD6FT0/n702D8TckJGQnIxx0qxhnMxu3CQbZUoc8ykId\ncm8NciEX5EPurAIGXMikWnFzyJnUqAibkSwkNY1rzmX3grZhNOjDiWNYfGMxczfZuJMbRnFQ5tbm\nXs+wxz+55ORS2h/E2kHcl39YYZ9pSVzP8KYc1oDWq1g4i/dG888d2ZcdErKrEg66IQnNRn5ejdpR\n7XmYy88Vbf9ODr0uYsAtoD7JbRismEH3JvY+h8GZUe0n0f4GTsN/yt/b8mc0I87korZb5/AbL6Xb\nGOrcyPvx9C0kZGck3DIUktCcx7j7+So3qv15ZnUpXHmoQkinSXFJLGrECHsXkEq/tsWsJm8ZbElO\neFaR3I7hbaMWzTUkZS8OnRkjZWdISEjJVOktQ4vZ/3GOaUzrbLJrsn4Ef08p+bx4LzXfVTSlOq8G\n+xzHQ3cG88a7Z1B7IZN357WDgi1KdSrQxwFtWTmbnDYxfitrWFlcP+nUzhNVMimfvGDvbaJ/PgO+\npH4P2sbQGkizjziqPRsry59Qs1Np4m0/3ppdb8vQe9TOYsgVdCwYZBeTey0rbuaWyvYn1Gz/eR3J\nujwoeEDx85oV4uPpZN3CftcwIDIs9B2rl/EUFsfqpxUr3mf/6EQiGzAtKCc4oaJ8Li9NbeYsYjUa\nRgvnsSGdjyvTn1Cz02nibT/emphU2Tndjzn7ejpGPmk0Jvk0jriV10fyQ7x8qwzepPnXHN2Y5qtZ\nWY8fzorDIpzK5HFafM+ATiSfa8cKMBSQhoP50w1csjt71aXOz0xdxgvXBoNOzFXhJ7JoFI/g3KHU\nS8Icsh/mo8t50k4QYu7H+hv48lAOjX5if4dvr2BBXBwLCdmJqbLh5Q7sGSu014Vqb3KsrftWEy0s\nscOaf9G5AX+8JiI/chYH3kOzP/J2gvhcbn1vYuCdnDOYvmdSYyG5j3J0ax4/nLk7aqtf8PfiOv6z\nmX0PCQZbtpF9ayw/jOP6xzhlHYszmTSGH1KCATdhvi8laY7j5TtocQxd2pO2gNx/M21vnk9Un0NN\nQmjibT/eml0vvJzNuuIcWsWSqHMTLSyxQ5olXDAiqohNZ9J+YOgkHu5eeB5upw8/3cNxF7N/9fzj\nZiSfT6e/ctJ6zsoMFjvvsK0awV9uWfoZFPwtK6utRNF0RgfOupm+6ey/hi+v5+P8KMLSRPQ51CSM\nJt72462JSZVdvTyTiVtitH/NuvqFn/aqFBOp1r6YkOdhtHws2OZSpWhO7+ox2o+n21j2r3SHqhj5\nRSi++hOv37R1wA0JCdkOqmx4+QI+eYCDzqRlQbrCqeS8x7tXBqtHi6vPGu+wxA5pmpE2J/aiWZvQ\nJljYkwjXXm591wgK9hShMcl16C0ojlBiP1vwH05eQOoWcprw2YmxCw4kxOccakJNgmvibT/eml0v\nvNwCp3DNWHZvTo8NbGrMlCtjJyVItLDEdmsaB//zzZExSr+9yrRTg+LnW6LPqyh/KqPvZUEWrm7R\nJ01kfXX+h6kl9bOK5Fu58f84oHl+Kb0fGHwrb49M0M851ISanUATb/vx1sSkyq5ehnpsuY2XBH+U\nY/7hRKYx9z9Op1NonS6Y0HybFfN5uEHhAbdKsJmP/kHHemT0FVR72IwX+WTs1gG3WP7MCaM4KDKn\nZA+qJ3PIrbxc1Va6f0r9D7m+DT2SSJ7P5O58cEgZ/uEICQnZPqpseHlX1pyOpbx1D7Vq0XQtaw5j\n+cHBFo/OxZ1XyT6XS9/P06kGxx1GRgO8T94jbE7ngz8G5Qy3GUrvxJBYSZy7kfEuJyhcoSku79kP\n1PiUs3NYtY6Fp/N+48CvMvUzm4wsrruKRhGvt3qBvb9k3V5Bwo9y8TnU7NKaeNuPt2bXCy/v6pqG\nuKJwW6UmlSilptjzXqbB+wzswYozFNlzmwWzSFvLmLMiBpADSOpD+h381IBJpbGVG0x3x2RzUL62\n0HlZ/PwGjYaytFcZr2t7NLexdweuPpsWKYIEG39nrzqMPLmMSTb+xuljCw+44LfUu4699+Ke8vA5\n1ISaBLAfb01MqnR4eVu8Rt2F7NaaXw4OMu/EhUlUe5rfNqFNLukNeOiMCqrak+hkYwyXD+GgO6i/\ngC1/4/Dq3HoO0yK1D3Dk9XSI7qMeSW2CVcv/LI3N2fyUS//opfyLyF3FlwXHq0h+kJM60HMYTWew\n5A0mncF1TSuo1N56kupy4bHBMgVQHRfQ+S/8AX8vS3/NaB8rIXQSWtJ6x7wNCQnZFrtkeHkhaU9y\n1l70Oozak/nDrXx7Lk/UY+/K9GccDX7k4jG0yxDMv37Avg/x9Hl8Wp62EkwT87y7OfJyjq+bvwK7\nNSl/oPdD3LSB0dXpXyBuyu7RVXwKqB2sKStVKP10Pr2fwRfSvmDg3YBn+HlUcPPTGf7GSRdxWEEo\nugfNNtHsblJGFi5IX27v2RN0O5ouMV7Tlb7LmBG1dLtEW3kl/OZzgi2ExYXjY7WFmlCTqPbjrQnD\ny5HHD3L9tQwquPgW1B3MkBtZNpaXK9Of8Zz8J9oVHCdhKHUWcPgsnm5bjrYSUFOkrR5X1o2x5ek4\n2o2h5S0R4dRVfDSH4a2DraSFWMj0UviUBTOpt5aN/xaUzcnFIjZv5st0fiKIRnSiV/TcbwZ60fOt\notGScnnPptO8ZjFbwKphMV81KIOtJJ78gn37RdUinsbmpbwQdW6ifV9Czc6libf9eGtiUmWTYxTH\na9TdlwHRdxvp2ItBlVmubDNJ7egV67Xf0PYeDqwsXxKFmtSL1V4/GHiaR7Zdy4Qn+SJ6OfZXrN3I\nv0tr8wt+/ye6Ho/hOBrnkb4Xh76cvwf4fzTqEiyMLkIPGo6jfWntlYWzmPD21lSWhZhKVhfWl6W/\nPzL1c577DwuyBUvZ32TJa/zn+uCGJiQkpALZ5cLLn5F3flTllwI60HghQyqzXFlaMYN8OhoFZdWa\nlpet4jTLSP2MenvTtUg5mUoOP60OVs+2ihZOZ3OXqFJ6aTiNxx+hbh3qZ1JtEfOaM3dkoC1VeLkj\nfWM9Sg6mzl84E/89gYwfWNE1RiKOKaw+OnCn3JOOdMe7fDyN33aKqGs7jpWZQQ7oMtu6iI0zue52\n9s0j+UjGHxLc/JX0fpXa51ATahLAfrw1YXgZbuGEwQyeipaxhQv24v3K8icdc4L5usHRojdZODio\nRtOqovzZglEM6cGwrrT4jNVf0vBEbu9ceEXvr+etI/kVlg5gVdvCW2nKJfy0iDk/cl3XiPDnFjzD\nZ6N4Rf4q7L/ScRXHNqD+OuYlc+1B/JK/D7lMK7W3FLN6OQkr8vMmt8GjfHgQx0YuRNqCcYwbHbHg\nqiRb26O5mKwxfNOY46uRspgFGbxwMT+Kfa3btNWerKv4LqJpXXn6HGpCTQLYj7cmJrvM6uXrGHwO\nh7Ym9VnBv7IZEa+vx7d8eEwJ20cqgiT+/iqdhkesTp3Ghs954YYSijaUB3dyzGUcXT9/mqEn9Q/h\nNzdS7Xqui9RmYyxnd+WIdjT4kuV3M6UeyxpRfx7vXMv7EcUFCvEUnX/h+DrBfPUvnXj2lBi663h3\nLGmNOaYdbVezeTLjf8OdBZo/M3RfRu4X8dT5Jr3/zpjL+aKs78PsYPDaLbr9E9b05o2C4/P4y100\n2IMePWjwEyu/YtKx3FxWm2VldFCDd5Ey/LhDQkISj10mvNw8KPWWSlDX7z+oK9gj8T0bZvHRn3iz\nsvwpOP4jE97jzjs5uEGQ67f6Jl67ISjaXmLpuB3xZx3JbRlcP2pePxUHsd+H7Ds4qCIzAO7hqD9y\nbMOt+szhtHwRJ2ERQ+/iq4v5aw32iezzXg4YwsmnBg/38vBfDhjHuEGF03IOgFH8vIU75pHRlL7H\nMV4QapfDgOYcul9UmPcQmsznItxU1vfjAN5/nD1Op01KfttMNmcx5Zzga1KXIDoykh8n8q9XadWH\nX64M0k+2La2tUBNqdhFNvO3HWxOGl/OCzIAI/uU/QZD1YAFmMW4k1+a/HKt0W4X6fEDw91H+8XaF\nC8uqeZe6zYqZT+5FjWupPjhfv4xpTdijYdQAnSG4aVkgKKd3Cf3G0OfWiBXGWWQ0Y1iP/AGXIGx7\nJI0fpN2gYnxMQZvgeFOk30/Tfr9fXypMD9o/zvKzohJG3EqPDDrm0Hwx34/k9QYRtvoHRr6/nYtr\nU3sd69fw7phiStf1IqsXX+UfroqlidEWakLNrqaJt/14a2Kyy4SX5zFjC0NTItpqCiZMlwfhxV2K\nvVn7cTBgFNnq+hNrOzOl4Ph96nSIWjlcQC/B6NMsv6O27GnrgOQhhtwUY2EUtKTDdNI7RtwQbYsU\n8nKLCWHnkpsW3DT9yrX87gRO7xHklLCKo+/lwHN4uGmEbjBrBwcrniN/PAmdq/sahrflyDSSFjK7\nDs+fH2+nQkJCSqRKh5dzGXAP+2bSqxUZo1l7FTULVujk4QkWXsJEu1hSgKZYwcL1NIscdfPwIT9d\nHoyhnTFgGJ+/xxoxBujpCj92Vg9Csb/aakHj4lI15ZFaL5hLLZBs8zpOpNk/mNUxRiaqH5h5TpAB\ncwD8l+ZHcVrBgAt1cBX9HyPtPO4uyVZp/ImX5lZO+D8Oa5ZfFQm932XfD/lo8NYCH5XmT6gJNQlm\nP96aXS+8nI1b+d3v2a8gLJqNP7OkCcuqkTOLH0bwYdOiVWTiHZaoFM0p3HUzRw5gcB8aTWfdB3w6\nmBsF0XdQj6yJfHAkIyIXn+VhctAPgkfMacFT7q/h3RFMf4UjTo2xj3U2k4/cdn7kQm2pWMS0d7h6\nGI2S8v14lV9WB4NogTbrSw4YE+NGIRUZweroIrbWM+VG9ttI86HMOiIBP8MXadiXgREDLhhGgwdp\nPTiBfF5ByrssHsqqBolTUjLUVI4m3vbjrYlJlQ0v38TeZzAwch4yDdfSaBSv3MSD+c0JHUKsCCZS\n7SkGdKb2KG79iAfuZfeDSbs2SD1ZhPO4+89UH8KQPaj9IzlTSR2e/3ou7uX7w3lCRDi5JTmzeewj\nrtw/eNCUg38yoyMvbo//VzHuMc4dw3ENqL+RnNY8cBmLI3WpEYPSfMGdQEGpw3k0+y8Njgi2BIH/\n0noWIy+mW2OSv2HDdQy5kDFNKyi38vYwngPuKGaveQPaZouRoquSWUbKXVzUi2EtqP0WCyfz3vU8\nFA/f8lffD6jO3imkVbVyjSE7D1U2vFw/mO8q8vtOQacgv/KHlelPomju5MgODLmOxivJfZIRtXjm\npqDu7ACsiHVeS4zhhWmseJwVHZi/iF4v0i2ThnP55lhe7xgMuIVsX8vsr3n9LuplUnMli4fzVhd6\nKyYhwwpSHmO/+vRezWfn8Vn1YLwcAGcHsv9FnFff1oFoALRm9lQ2NyT9UxwXYego6j7I3+ZyUys2\nbSZpMX/4v4hkJH2o3o1D7yZ3JM+W9L5uo61cNU2ovUGMR3jkkZKWADsGHuGMqxmWubWx/Qra3UXj\nK4N7oErzZxyNvuO839OpBSlTOO42Jv2WB/IT4cT9M62Cmnjbj7dm1wsvr414golmU9FybYkWlqgQ\nzWjanMXRbfK3KNch+Xd0fIrTJnJKacrUdcIl+cfDt964bHPF9Z7BX7RmfazzHgrmeUedz241sIw+\n9zOwA1f/JnYpu1h+Z51O1lV078ZRJ0WtvE7C2bS/jj1u5YnRDLo4KJJQiAw0YXcJ9H05lpkvcfAp\nUVuV8jA3SHgR1+/du8zvRa/om4L86k+9l/GfsuSL3lHN51x4ecSNyO6kX06fGxg+mrHlaSvUJJT9\neGtiUpVzL783Jcaq2GzMDBZO7XI05OA2hXOCgBNo+wSPPsEV13PF08WsVK5o/kfzsVy2hr+elz/g\nQgOSLqP3FC4ta59juWk+U2J90dPRIn+ueSMtmhTze6hJrfXFFB2IBx3ZPJv7X2VRwVLtFeTdyjeH\n8K+4Ood32X2PGDV7oUuQ+Sxmfu2K4EVaHUyf6PZk9KJfVozfQ0hIRVJl53SvZuLNvH8SB7TJDzOv\nwV1MOId/xNm9uFC7mH/s0jGEzvnzs71eYsADXHVBGe7eiuN5mkzm9A70WMuyWXx2Pc9FZ666iSED\nufo46sYa3ZKwB32m8lyR1FElkBb8zVBMeby1+Vm/uvDpV6zvGyNqu5i5xWXaqgweofUUBjWl2ilM\nb0rONXzwX769g/Nz2bScqVfyRoMgGBFXujN7GqubUjv6tdks61mJtatn03hYMQNrE2p/R81dblFH\nSFypsoMuXMXTo3ijFkPSSMth4bk8kkiLYiqTpUEeix7R7atF7KnBMbS6gzPwpx2x9yzNt3DXmIjt\nPasYeBO73bQ1rGcVyU05azB1Jyh+1KhH5i9UK8ugC2t4ZzoHdYxI0AETWZecPy98LrNv5pvu7BuZ\nMeRH1i0vnDWrXMnGDfRvyGErWFKPN/7ANIIqVGO5ZjjDzqHWGrzAgcu543K+PIKVRwS+7fDNUXly\nCkvG8vlADowMHWTjK8YfWYmpVg/mpwksPjTG1MFPzBnBcsU8lYeEVARVetCFsUEKwfH5h53togMu\n5PDSF/Trl5/WkF+32xgRpW1B1x2193OwmKbQfto6JJ3CQbfx0pX5n8Vf6HVeMG+qt2Ci+LAY/U1k\n+llFF3ptk9GMv51X+zB0CPXz8A4rx/P42IhVrBfyyI3M6ET/TOqsZNkinr6Wt8tqszSsJ+kmxp7L\nsIJozNccey1P38gj93LkSI6ulR/aroWz6PgEV07n5LIkFalshnHjTSQfQv/OZE5k5TtMOJXbVVAZ\nxFh0Y/2zvNOfE+tGTB/MYtMsXotnBCNk16TKD7ohWxnJV1dw9zjO7U3DFeRtJGOYol+ELeVwc9Ki\nmO1YXaj2HIPwQUFbUv7AkinYfjRX4TRWk1i7gBcKbUwtA5fz8os8OpJDkXsyU8dGVQaqzZYbuQ/3\n5W+7Ka5aEYInt/dosJIGI0pYuFccYzj+Wg6tFdG2JzXSOPUvjG9E71ox5pJPoN1ojritaBKMhGEA\n6wYw8k32v56UPfhxDAvj4cvoINqyqh3716bJcub8wv/G8nI8/AnZtamyW4ZCTVHNQwwYzIhDqL8S\ni8h9iY31o3Iw5wWvzRK74EJZ/Ik5RuYhM9izOwCuYeMLzDktP7nVEYLR+EusYvMmfkjnw1HB3Ox2\nvx/HMuHYrQPtAME0f8zz0kroBx4LFmQf0Yf2tcn+G1Ob8/xRwftWKn86sU+tGC/0JPN9TqoZZNcq\nQnU0CVZ47+jnU+GaQ+hwSLDi/NfCEZXtTxpuDHyYkK+ZkP9audc/DjUJYz/eml1vy1CoKdz2E5nN\nuOHw/L2sDYK/5I5Uu4+Nx1Ltm3ztZ0HWrvvw8474M5Xx2ewevVn6PZav4aVXaHogUzLJm8PfxnP1\nwPzFN4PxOguq8+iZQR3dMtuvKM2dpPTn9P5b9wWnDKDnU9SawBkDYm9rimVrjxhtIIe1S4KbjCJJ\nMGaweT3vRPSZsN+7ULNLa+JtP96amITh5V2EVxl8eVA6sBDpSGVZFvV/Q/UkHEWjZ/nLQ1x9Xhnt\nzCP1OQavZ9g6FtzA+AvZpwkpefiYNW+x4igerkP1fzFlHs+N4vVXgjnOPvWpv5CFHfnXqflZrBKJ\nzRzbP8ZgOIJ213H8gGKyekUzi6m59I/ep7SE3GV805yp4+kwMMJWNp5iwvUl3EmHhIQkLmF4eRfR\nNKRTcfOhtWl0SMTK3hScQtu/cTk+K67f+aT/k0H16NySl9IwgwvOpV0tQez2n/z8V57pSK+FzMml\n118iFlf1oOsPjPw7Nc6k5lGFn2rrSMD3tTntYrRLQ9vg+x49Dxuzn1OY8DCDzqN9wQmb8DDfjmFu\nOv2f5pFJHFSflltIns2XF/CcMDQaahJbE2/78daE4eUd0WRR4+lgv2/nbDavY/aF+WHRRPU5uq0a\nr/9Ejy4xauimFpOqtx3tZgap8orYuokh7bnoj7TOwBd0f4u11wVV/hCstv097e7kl9O5bSQ9RgdT\ntoXoQeZ7QQKDJ8rjWitasziYey6y9WoL5gYh4VKFlzuTNZdzR3FGR/psZPVMvrmIf6QHC9nyTgnO\ne2HrKYn//oSaUJMg9uOtiUkYXt4G71NnCiPH0r4gDLiavBtpNIbrKiN5+1/puJSDk0iqwXuX5w/2\n/6bRREa0pP1cpvbjX8OL2VJzMtOv5b2rOLxGRPu/WdY1mOItQirJOTFWz75Lra5c+puIAbYFtQ4K\nxtkiDGCP96lfhxYFmSe2CPbhbBIYWEz3xaQV2UyZgOTw6ncM6h2V/OEl5u0XZIRqXtq+DmTlgUF1\npBJXSoeEhFQNwvDyNjRfc+LlEeE/qE3S7znwCb4/Z+s+zwrx52EuHUDXPvlPqJM48a9MqcPr9Thn\nLA2TkMuOPAWaAAAgAElEQVSg/3DE8zx4fJBcoYita/jXvaxtTI8Mqm1gU12ems6Fe9Ii2pGZzB4W\nLPbZENnP1zS4PGLAhVWKKXuDBlTfyIBUcjYK4tj/wG9tHaUPpelD3HAC1zUOpi6Le4/i/n35ExMe\n4NnJHLovrdeT8wkzavHCwcGAW6H+fErdj9g/ldS9yR5UgbZCTajZTk287cdbE4aXt1dTj8ax0hK2\nJnUBp13LO/vzjwNLv2K11Jox7H0yPTpGhH+7k1GPbvdR+5aILSXJOJYmfw32ob4Wq+/qZI3kp4im\nzsgaQ7WvuXjP/Ce3PMHK4XXcK6jCUqifbA6Mnh/eLTgnZjapT5l+LP9ryox/0r8DHY5U+LE4HefR\nchR9buHJWO9HCceVrrmArFU89hKHLibrUmaklXxeufgzmj0GceZI6idhIhuvJmkMt6YVc05F+hNq\nQk0C24+3JiZVueBBubClcOHtQvSk2Q2cNpO/fl0Bq2wzGdYxxnxrC1K60DrWOf3o+XiMlHclMZpX\n3+WP9/LBg3w0lmeXcP4lQcWaImzk+wVRyTNSBVXhf4xqn8L6mbxYg9zObMpm1CcsibUBNR0N+c01\nnPtyMSHvRKIOuWcyY2TRAbdCeJUWh3HusPwBF3pR7VKOuZajK8GFkJCQHSQML29Ds5I5m9gnOmP6\nREEG/SScS+dHOG/PIMpabv7UKWHwTCvmhimN1KbBg2d0iuISbY0MQro/2Zo4oKZiki+MYcLtTL6c\nXpFPvLksfZ6329M/FWtZkce465lU0M/vcT/f44BY/nei5ZGc+xbHPcwz55ZyJfCuoFnCicNjzJs3\nJKUDhwjuthPK51Czy2ribT/emjC8vL2ak5l+Ox3OZY9G+QPdZEHWiIJHiyRUD+Zcy9Wf6Xy6noHR\nZW+yg9di8gWTzuITLC2NrZuovom9NrHuHL7tWAqfU8g6nAvHcmF7+lSnznwmpfLP64M57hJX2S7k\ntTns3zrq+7dO8FifjEOp9wJHz2VUqwT5LsRbs6mEVJPJQYShQJswPoeaXVoTb/vx1sQkXL28DVqS\ncwV3X0/LJE7fi84dFY3llRSG3l4u4MW/cfjFdCl4oswTbNLsL8hnuFeE/iOWLufJ0oQ6F5L6OP93\nPHt0IiMbr7LkOW67JiIncnF0Z2N37sg/LNPK21F8MopXLuDoVvmpIpcLNuieGqE7ihZ3MWjkLlr/\nOJqNTF/B0HpRT/95mB1sVQoJCUlwwvByKTTp9P8zE97g0bqM6R5MX/5KNjYHD2qR1xrT1lwykslr\nEVSIKdGftjidT+5gWg0GtaRejmCja11BLPglzGd1Dl+2592rWKIUOXn/wW8vZZ+CTbtpOJZGL3Ll\nTFa0DxZQxbqOHX6f83Ph/udVqr1C5mb27k3m6QrHzNNQP6g+tM33taw+rmbQYqp3jFqZXdZ+KlNz\nIbl3B2H97pFh/aeZOzzIgtU5lwH/os0aMo9nar3gZjChryvUVElNvO3HWxOGl8tDcyhZ1/FENc7e\nI38LzzLy7mPCBTxaUj/30S2FfdowIo/c55i0G28fsQ1/GuJKsh7glqMYFinqkv/3KJN/x8iyXFcD\n2hfJkoHhNLqGLrfxbGn62V5NCn4T2Mi6gz8P5aCC1zYLHrWns2kB09YXTUSy3fZfpPFU/tiVvTIZ\n8Q5TV/LMVYzbnuuoTE0GDuefozm3Pb1TSVvOgmbctRcL7qZXJgcMpkMtUt9g5lSev74CVtaHmlBT\nCk287cdbE5MwvFxGbuDvL7DgdbpUI2MpE6/irTpFFy79yvM0ac6NxxauVjf4X+z2Bl8cyspt2V3E\nojxFVxXlYXkQnS0T1YIqekVIC16LmeSioqjOP/5LtyNoMQ3fCJ7mDw7e31MfoOduXDU8eIrfbhaS\nOpdbr4rIJnUge02g/R386bLCT70JSXc23hhs5SqgMxZMoEZjRp2UX6kJTqJ9Fhc9xoNnl+EfhZCQ\nkIojDC9vh+a4IAHCGxFNu5XUz2xOurzwgAuOp/ntXHTo1jR/xfpzAF/+j4MOp1Hki6+x+KitIeWS\nrqPQ8UoWo2O0T1ls7sJ8O5jb96/0T2efTGqtYHEPFg3mP7HOuwBvcO/DnL6OtpdE3BA0JOkyet/N\n9YLKR9v9Gf6TwefGSN84gAbfcIaic8cJ9b0rSTOOIy+LGHAL6EyNzzgK31amP6Fml9fE2368NWF4\nOZ6amlSLlWAjGdWDqOG2+s7aD3dw9Sx+15MeeWyZyOQtPDI8yKZYVp8ffJvdD4rYD7sBT/P+jUGe\ni9L2U6Ttdo46nuGtg2uD3caz8lY+Grl1S1Kh8w4l6xlS9w8G10IkYXc6fsGcfqWwX5yPm6IKxkdS\nM9gitTOHYY8s7secEiw7SESfQ03V1sTbfrw1MQnDy5XAyhLCxysL7+0tkcuCp5ULv6DfAqZetLXf\n6KfcbXIhP77M3bczsCkdNrJ+GdMv4bay9hXJBGp0ZkjEgAsGUvdbTlJ00P2VZdRtWEzxhfpUn05m\nvx3wbTXLs8U2sKYUIf5EZgXzNopRzUJw3ZXtT0hISGzC8HIlaNoy8SsO6hs8Tf3KBDb0DgbSklbn\nFrHVj+5YjaY74vPRQf7kp6M0hTI5fsbhH3BwDZb+nm/Sg91Kxdr6iH0vjUhPGUkHus6lV6vgybyI\nTydR5yMWHxMjKcgkFp4Z9Lvdn8/v+PY/LDx+6/sGZrM5OSKBx7b6SUTNxUx6htlnRYWYv2LN7sFU\nQrmvAA81oSaB7cdbE4aX46k5kazrSZnJOYfQLBevM3MNb/2edxPR54Wk3s/o3zD4KqovJvdhJrfl\n2ZJWXK+g4SryGseoTrSe9UlBbpGc6PMI4tzvsVc/GreMEEzGD2xI2ardrmvtSNYrjH6QPwynax2S\n3uKXb/nPDfxd7P3GCfmdim7Lv4u47H6u7hKsXs74lilLeOaaYI4+4XwONVVeE2/78dbEJAwvVxLX\n8+oyZl5PkyRyr2Bc0xgLmRKFv3LBdRxaECNuTPL/0eNBqq/nnRi1hME1THiJ2WcG24x/JQ9ZfHds\nVG7mSFaTsi/1p+ILwZczW7AC7WTaPEyrc3fwus7nm+e57J8Mm8+KU/n4mJ1g1XJpOItZuPN/LJhL\n+pksyQ+ll3n6ISQkpGIIw8uVqGlAvzu3zml2jLc/JWk6Mzg63zQcQ4fHOPGiYGdPkfPqoDnfv0jm\nUTROFcTBn2XhQfxXCWHOpezfikb7xrC7jpofM1R+BqvSXkdk270cWI/9u9CsUTCef1uPRSowEUg8\nNIdt/Y41KE5Tmf6Eml1SE2/78daE4eVQU3pNNjKiFkIV0Jikn4MsR8X2fTDPj+PO6ziuNvVWMvMa\nptUOIsXF2m9C8ngG70v7aNFEVjcJ6t7XKe11RB7cz+AjGdFu63VlHMqgm3Adl5S2n1ATakJNqTXx\nth9vTUzC8HJIEdKwjDloEv3aV6zfjc+31ccg1g4K5kkL2GaIswa5Wby3grb1IjJC5uAdJoxmge0s\noViNfdtF3Ugk4wT63UzPq4LKRyEhISEVShheDjUxj1P4bDLdu1G9oG0jPmXuRcHOlDKtuC6t/dF8\nfDeNO7B3ZxrPY8NEvjwvqPMQK6d0qezXo0WM8+wWDMQHiJ0LO2E/n1ATahJcE2/78daE4eVQUzbN\nOWTdGKQXPKUeDdayejoTruT9crRVpC2drCu5YTrpr9D4KBodXDibUpmuo4A1wbaZIrkxfiFnXbBu\nKyvWedtjK9SEmlCTEPbjrYlJGF4OKZZrgznUOdlkRSSUqJSVsB3ZfBnzRO1t3l6W8tVy2tUvXMjI\nv/hhNOPLw0ZISEjItggH3ZBtUpr6vInOxbw2ms39OXggjeey+S2+bsHNVeH6QkJCdg7CQTdklyAF\nN3LPhzx2I30Gkn557MQkISEhIRVGOOjGiQnUmEOzLszqtXWfaEgFM5i1g/lYmDAiJCQkDoSDbiUz\ni7S/c0U/9u1D48n88gIfXsHddciNt38hscnGKYaeUM3AgzZqKNtPMwf67zOXmVch9u7XoOXX9j95\nrd1lm7HkN17/12nWVYitkJCQyqPCB91PXVLoiSLDqgGbIrZaRh9Xdc0rXjnnGsv2T89v243mB3HS\nLZrVPcyIZxLR54rQxNt+WTV/senM3dw4tLp6BTmle000dMCjXvqwm2blaus5S3utdPzv2jq8XpIk\nefK849+HLvfiJ3tr/mJp+nnCon1W6rpPsrq1qpulhV+eOUyTGfF8D0NN+Wk2WrTfo5IPzlW7dgNL\npp2hZma2ugnjc7ztx1vTP55bht52Z7yXbSeMZqHPav/GP0akR4lqoLvlPZ9x7k0Ng6hnwvhcwZpS\nn7fWwtRlDjytl5X7V7Nq4DT1pi1xxZPt/d+CCvYx63N/7dhK/30iBlzQwXFNXrKw5XwXlZutLbLN\n9MSf9nREvYLGJEk6Oq7R+1butso52+znfdf17+Om3zXX9tdkILONu2i0T8cMdOWnZfEnWrDRqqkf\nuWG/XNm19nbVt/V1TLTvVJXXjPeXferoN7yzY5qmSrfavJyr/HNyR4c801Sv6KmqneL3XdU0sUqx\nFZCUlxczb325kZpU7ZfI4xRpaVtkZxd3XLU1SZmNbawTK3nwZiyWvjhFenJi+VwxmrKdtzk7Q069\nhnKrRY56q8lZLW15iowKfc+SJNesoXGRPb6w2Zotm61bXF62yEvL1Khhcoz74S022WD5IpJyi+sn\nWWp6qmp109Us8jXbaMXmHJuWbe/7kyy1Roq0zHS1UpMky7Yud7N16/Lkri2faw8129bkSVOjUYba\nRb4g6y1Zn2vLqtL1U7GaeNuPtyYnb2NzxVDhT7op0tIKH2dklHRclTXJ0lI225hXPUbZu82ScpOl\npaTIKPQgHG+fK0pTtvNy0utFDbhQm9RN8mrnycguek75XUeevORo7VaSksrzO54nt8TfZLLUtCTJ\nEYNu4X6SJNdIVyPWfZ0UGWm5tqRHf8dK43OevKQ0mbXSZP76MaSpkZwio9ZGKyVJ2lSaforT5MlL\nQvVkqQXXn5vC2uLO2RFbO7MmT25GhloxvyOpqmVssTkt1nmV7XO87cdbUxIVPuhebc0hUU3RNUtj\n1TCtspo1mp90iwWHRb7xG3G5ts83MvP2RPS5gjSlPm+NjofcbsYpYvCgzKxFlt6+rX5+8dQB9Vy9\nTzur2q+Ttm6yQTNaeP6elMK7kGP6M9u4mustfbaL3xSavN0ix6fueHNfI0dtz3XF0mRbn/SDZ//R\nx9ldoq/1a4/+tKffnVpSP5+774TuTri8hsZFbux+8tLiZvocXVfbDqX1p+DgXVefPdQN5ycrOp5/\n7r4v93bRlaXpJ1bbCjN7/+jF/9vHxb0LPo8NlueN95d3hhg7Jr8t0b6/cdG85bKTDnL7pUlF79tN\n8tzi7k44MkF8jrf9eGuKJVy9XMls8v5NIx2Qd5DF/bvIqT9R2uK3Nfu4ugl3x9u3RGWd1E15YoQH\nsFHKpm2dP8OVuw334KW/tebXAg4rvNz/Wh1qNDbnz8Wdt8XmpCyHHtbFlL1WSvnle59ndvfnOsmS\nrbVoy1ce/LyP3/17+64qNmky89Za+MRs465sY1BBaT4zvL0oVcYr2zq/j999/72np+zpnEILGPPk\nWWrKd10ck13cuSVRTZ16sQZcSFezbswXSuAbj7XfYNnptbTYfakpDQe7vm5yRLKw6uon9fX7Qz52\n45tDjNlmgY1dhaZ6fzDXhLNbG1ik8Mc6i6bFw6eQshEWPKhkTbBQav6zL5v42nOmD8vU9e1Guqy3\ntaB9wvlcQZpSn5fj1kkfOH7NUJsLzauuxyT7/NxqG/209fr5kQMu1CPpTAsOe8DjX7Rx1rzo87Jt\nSNrggNF/82mHBvnj/Xy35l7tnSWLnfZlkqRpg1z1VYr0/oIp+TJfV3HH+7lmfpZXbv/GoycnSd6w\nwYrlTfR8p5dT29vG7ylN9f6pqr38oxfP2t1RjVOk2mStiZ6c0dbg121n0YgkyRs2WSsjRlbOzdas\njfBrm9e+0MRDq6s/tI+zm0GWVyQrGsGvq01apgbDsWp7fK6Kml5O9Ylbvmik67DIhX1zjF9fXYPx\ndrwQSVjwoHw0YcGDRNM01Qu91iaKP3HSlOq8lo7Kekavv+X55tyhttRNwkw236vpBw08dRc6ldRP\nOz83jWFXXznVkt3VmrMiM1NlwUxDfvuQzztGjvItSL7ZNw3+oOkHPbz+QX5z3vZeV0mazo7Kwtwo\nzcLS9NPLqVk/+/DND4w6LkPt+ilS13c34pHaWuZsrz89nDj9O08M6ufCjpGhzVk+XIxHo84t8dp/\n9v6Z/V3ya6g+T/GLOTdZszTi/ET7/sZF099lV33m7sUZ6uyWJrP2Wgvm1Nbqs55OjhUJSfjfdxXW\nxCQML++EbLYu+Us3d6ih0+reTl8Sb38qg1a+eP4xD4x70b/PyjBv9Rx9v+jmyc9TSpEZelMxIegc\nbJQe87Vefu4ba7lyc5K7+X4gPojxcsLQzuC17QwuqGfcWXC5201tLXNa2OueT9xyeH2deqeplr7a\n/HmbrHlwoMt/LEtfmRoWWdmZY7NUhdd3LfHjxmSpYarOKFKkGeiKN3BXRHOYYW0nIQwv72SaBY49\nsK/PjzjD/AaLpWz8wOgpSzw9qb59E9bn8jpvdxfgggWYkD+JWKqQ5iQ9ZuX4tGv0l/0lNZbW8+yP\nsfupXSeoBliUJHXrl2B7m/7srJqW9u7S0t5Pb7L62Wzrk3dzxF5YrcwhzaTMyKNODvW9p3X1W9XU\nBivM3JLllfcHuSrbDtRRDjVx08Tbfrw1YXi5KmhmOGTYtd4+fjd51aGTLdUGmt3rdsfUXOT7+2pq\nGv00E3efE8F+ksdvutYhLf5odvdmpOTiddVXvqnfPW3sFrNW72S1xm9kr2pRLy4j7yeN3+lacjh1\nh31OZE2G2jKCwTF7e/pZZ+H7Gyw/vbr6yZAqQy+n+dx963JsmJAsZXV1DaYNclX0IrW4X/uuoFlu\n+syZ3q/f3tDl9XXcvAO2KszHnUQTkzC8vBPR3VeHFwy4kZxjSYfznHBoFx+9Fg+/Ep2GOm/KNeMv\nfzS8eWtTeq6RsS7Zg9+3MajYVbENvPTcGPsPHW1Oz4KBdw1u1OnLTl57s3I8r5rs45L3PjCqVhfH\nHNLcnjW3yDHN/xZttvqhwUa/mi/79el5i2zfeLTXOouGbLZudXcjXmpuzw1xcj+h+MStfZOlHlNT\n0/YbLJ+/zpK3hhr79vb0tdGq5K88eFI97Xu20LfxAt8u/s6THw5y9VtpivyzE7KdhOHlnUjTgNYx\n9OqgCb0RuWUgIXxOFPvJUgZ08/oE/FJrq2ZVlOzX8+pqa7PJEy500g+7+Wm3PMm5WXr92NrTG1Ok\n714ZPldVTbKUAQe46eUsL3/1s/f7VlOnWWuDnuxs+HpRYfvV5qd/76k/9HByzzpaJefYLMvLJy7x\n4z96OTV6KXXCX3t5ar7x2F7tDD2rhb0Klh90XGlW/wnu6DnAZf8tq62v/O2Ufi46JF0N0Eyflp0c\nfspET/bs6/e3ldHnUl9HFdWE4eWqoFnGHLSJFq/CQr6rv+2+E+264m2/RE26mlp7NWtj/nG74D+x\nNsInjM87k6azo7MENY2LSy6Q9ZWHLh9sdO+CPcKp0nV3fNPvPPnbDVaMqa5ewl1XZWhybZEr59KI\nARfU1Ta9rjYDF5r412CHROlszfNFZkNdehUMuAWky1RbyxbzfDGnpX7ry+hzqe1XUU1MSkhvF5Jo\nTNL39amSioTVHtFoRlsv/S8ePoWEVCQNdOobKylHV79t/41Hf33C+M4Tzce5eeBn7ulYRFwFWWxS\nzYY6d4r1WnsHtproH/uUpb9p/te8se7NYr3WUNcGM7zZcnv8DClKGF7eiTQdvDnvTsc+v6fPjxhs\nfv3FUja9r1XWUk9Nrq9B9A8wIXxOYPuhZifQpKpeJPMSpMlUTZ3u6yzu8a2//66N/Xp3M6LGclPP\n/NRdP7Uz9OGmeq2Jh8+VoamtZZ815m+Jca6NVm5ppEtdtC+trW6Oy1xu+sr6OhTJLrbSzPVdHFtT\n2Vbsx2rblTRheLmqaJp5MWuWde9d4KbNNe2+qrfTl9QvITyXCD4nsP1Qk+CaNeb/hEbRL8zz2ep6\n2v/7C/cfsZ9rBxbs126iZ7XGeuzxiVtGNNXrsnj4XBmaTA0s8kO7Tg47MPrEaV7/sY9zXlaGqZDG\nupns+XHtHHBkSsSwsEWOBb79eqBh32yHz9u8jiquiUm4enknJF2N3H39eXq8/QjZNZltXM1p/ndS\nfR17b7B88WZr3hli7PiKsJVnyzOzfNy1rf0aFrRttDJvqv++vbeLVm60qn90gpQkSdob1vcrD7fq\n69yKcKvc+dx9LddbWnNvf5iWqcG2T0A97e7+zN3NejurezW15dhssudm5dgUXcijVPRw4i2fuqN+\nS/t0a6Rb3SUmr/zZBxP28vsXytxZSLGE4eVQEy9NvO2Hmu3QzPdV3SV+umyIG9oVPBEtN+Og8W57\nfaArXyxvf/q7dO1kz9//rb+flKpaeo6N69Zb+u0QY99YZsqwOlrFHKHq61Rjrgn7UmSvS9zfw8iD\nuSYMX2jiVa3t2ylD7bTp3pybJGVmDyMe3VY/3Rw/YZPVf/nGo4Oqqd93vcU/dnfie3W02iR2QpES\n/Wmos311njjXp89O9q/Wzew5Z4jrV+ZrsmOdU8a2XUkThpdDTUJq4m2/ymlybTHf53PraL1pG7mW\nt8vWDG8ePcg17SLzL9fXIb2l/kMmeurxXk6dUF62Ctq6OT5LsB2ukKaONsk/eWnfFvoVWTz1i6+W\n1dXuTTQpb3/KS7PQxGrLTBuwl/N/XaRUX4fWi01u9JEb/rO/68ZHnxPdT4ba+rt0snKcYmqlf1Yr\n/T/b0X524LyqoolJuHo5JKSK8JEbD/nOE6OybXh1ns9e+sgNo2cbV7Qs0A5QR+sesWq5trZv3SV+\nPLQ8bW2LdDVyl5ry9jqLC2Viy7bBbB9/2NnwFZXpT1n5wbPHdjeiyKrgxrpVT1fryFjnhOz8hOHl\nUBMvTbzt73SaXDkDPnffPklS2uXYsG43R7zbWLfe8I3H9uzi6PMa616Q17hOrtzmn7qjbWsDxyUV\nvr/ebn+SpKTHaAfV1G24Pde1I5ohxkz4zN31a2jSv45WTddYsGy1Od/ua+QrtiPEWpma2lp0SZUR\nQ0INDVvbufN7x9t+vDVheDnUJKQm3vZ3Gs1cE2rMMX7/3s7oUkOj5FxbZHll0HyfP7uHs7Kyrf99\nxIALkiXrbkSXrz3yRl/nlYs/K8xolCevXfTT7mwfr6yj9ZOoV5br2lFNspSsAS7LyrY+aYWf92is\n+8RMDaK30iTkZ7ravMnZNh6SJjrDN+ssmRV1bkL4XEZNvO3HWxOTMLwcEhJntsj2pb/1etefTn/f\nqAFbItas/OC8not1/v3PHri/v8u61dAoGZKl6OqYZqmqjVhpVlqmBs1j9V1Hq9RN1kTv19xuWuj3\n8Ofum5Rj869tS/y0YYZ3nunhxEXlZac4tsj2gVH9x7nlis/de+pHxvaFNJl5jXVbH2PATVj2cOZL\nkzwzJ7p9ke/X59j4aqxzQnZ+wvByqImXJt72E0Izz+f15vns/K5+27m2FsmrzdvypfunNNfvgdqu\nvugGn7TrYkv6/zlNcox75N0d3fxL95+RqcHmIi9io9VqalJPyeX3Su1zR4dMaKTbXZ+568DaWuy5\nwYq56Wp9eoAbf1LB4dxcW4x36zl7OHtgXW1SYbnpQz/25w/3NfLJZCnbbWul2RnTvdm+rrZLOzo4\nVqancr+uhjrbbO2ELz2woqk9ds9QO/0XX81OkzljkKtWqmLh5U1WD/rS346qoVEnWGvxtH4uWJ5f\nsSoePobh5VCzy2nibT9umhVmVkuSPONnH9y8r5FdC8K1tbVM2dsfu37s/EtOsKDDi06QbIO1ahfN\nEIE01a21cN1GK19fb2mnTA0L5Uyc5Nmsnk55sjyvq45W9jVyokpOyvK+a9r1d9mggqd9qK9jWm+n\nDfnA6DcPcGOsldMl2toi22fuOq6+Tkfvbnjz1eat/8zdU2pr9d+ujo0uqFzu19VcX831vX2ipxqu\ns7jaXs6fnyZz94qwVZzmSw9u2WjFiJqatsqVk7fK7EVD3fh6Odj6tW2lWWmTPf+n/i7tXrCHOMfm\n3p+56/ueTv77Nlbab6/9eGtiEibHCKkUpvW8alDLA6dfVKdRStPVy7YsnvZJxts9Pn36p3j7Vdn8\nbPh+vXx80t42dF4tbwOD6m5wukxb095mWy9Dp/bz3CNVhi1Y46mY/c0xbk0L/d7t4pjFH7q+URuD\njmxjcL11FuVM8erkZGm3patRdLnxTkhNzQZGDrgF1NYytbq6+6HMSRw+MvbUffzxyEwNk6GWZpkt\n7LXHeH8Zu0X277cnycT20MupSyvFUBSTPd+pvvbndXBQ04K2NX7p+Z5rWx/gxr+Vl50v/T975x0e\nVfX08c/upm167733kAQCBEIJvSiCgtgLoGJFf6ioIIqK4gt2UREVFAsWpIoiPRAghBIgJCGFhFTS\ne9v2/hESN5sNJCHJouz3eeDJnv2embl3d+/cO2fOzOd3jGJpsPL51EGPKJ4MPcCy6eNYcdMU4NA6\nXS36HCmj7p794BK7h1zcg1szX90uT6sO++bFx3/3Pry6y3eI/3Zk8EDEfP5YEo3M4sqQ8Uz28hZ3\nIOEgrYX9M9lFFAsEyoX+7QjnInvwYEzbWB0l0lzi44azqBhgDG99dJmzh3fzop0+ZpdHsuTElYuc\n6hJPnyKHOOML7Ag1xy13EPN7Ta4QUaceUIhOj7yjOW5jWh2uMoKZPeAAy4bE8obqftX/FOopmxrE\nLHvlMRMcdd0ZcVsqW3/qrW1XpjiFquvJq4cRJjiF0YMbpn8rtIlUWvQp6ikTBY+R3+bibt5uq4md\ng0pxW3YAACAASURBVKle8JTaEeVkdLoF5b8Gb3bdoeRwARAATxBPGRuUxoSodtaxIxgTnElmruIk\nn2Qf57P4o7z/bjTP/9CeF1I3iQ//iGXZif56SmuFDAmHWHF3E9Ubo1n4kRODvz/C+wtT+N22N+RX\nkXdOSlOH8SZqqaEwqScy9TFVW9HKDBcdKQ1ePZH5b4EMCYZYd2gVCuDBWKts9nWo69xTyJFKOntP\ngVTa2Xv/RWidrhZ9itOscwgZaKU2ezYyxtrhvPlnvv1tk6bgQJ3a1mkWgBFn215LaVQ73xo/Gric\nF8ajdwxi/tNjWL5JXds7TWE/r80ZyKOTfJliZ4Q1jkQYDuXZAeWkvyaj02tulxHJ3I1HeO+4jH+u\n0VKaOcp78UN5dktPZDZSWaRuvIyMJn3MzvfQ1H8FROh26gylNCBAWNdbuuoojq+jWKE6XkOhvI6S\nQ72l598AbXhZiz6FFb61pcXJNd6+dGjRVlJY32hUO0Aja1maQCV6lerGm4FsShCyFTkSqshDhhSR\nys+zhHOyasLf6Ksn2HT+MBNjLVFpVt5lWOI12gDzDuvHQcwaEMfygaNYmng99lni3ezHLc/uY8n9\n5ngEC9ExKif9cARzNhhjLwWIY3m0DuJbxVjaNVJZpoNBkpo9ym2oJv/PavKCTXFuO6kKFCSz8cRI\nlpy6Hnv/DaihIE2BwkF133UKv18czFO7ekvPaJb9eYh3xoZx/zBz3HQBKsmWJLEhbjTLdveWnn8D\ntFuGtJw+5fhxCyd3/Xhh8DDFIIGg/Q/76O/yy3pSqwFHeG+IAKHAhuAmL8Zuul799ZSOVCDXNcL2\nakXa+/18pDI1+RLfDnFF0c5rrsMLb1ajhxEAzdRzhu8IZjat62DV5Mmy2H8+lmX1XH37T7dtPs36\nMAHCu81wtWikQnqMTy64MizNgfAuy5HRLDDA3E6Nbsxx1xOiMwyovV6b9TDRj2ZhvCFWB6+MxXOl\nb+x5fnvQl6nRdoS2FQkpI33YMT6yGMzTu9TJHc3ryadZf1yIjosdIQ41FNRVkFUcwO3r6eXzfCNy\ngpiZeZQPHcJ5yM8AM+TIyeCPchlNm81x9+qqnGuNidBlBK+cP8GXCTKawxUoFLoYnBrByyYChL2y\nne0G42i3DGk5muPUbL3t1S/Fv7x32xw3X1tbE1FZaZ188/dpZ5M2eZcG4PtyEDMNAUpIbd7NS7LR\nLFuh8jTXJf3JwQuGeE7Iu8/DzySwsbF5Wvqp+qSKTbd86Ff1cFEn8/r1fLixLvUtEplI+m0Tabav\nAPm3GOXn8aGLzRWHC6CHISHczTE+ahSic0iBvKGB8gOjWVbU2zYf5YNAByIfciOmrXWeNxMGnuJr\nGxG6n9kSrBrrVitHhB71lOXREi1vh2KSG3TQ36Uyt1s2n2Z9mIS6py3w9JXQ0FRK6ml3Ru1wYWgq\ngIR6QTM1nsoOF8AKH918EmKqyVuttC2lna4BPLC6lqKMZH6xtSWkehCPO1/Lnq7Y/G/gmOFKGPet\niePtKQaY+wgQ6lvj/1kEc1QTqK57S6AAIVeiDj8rvd/lnr//Qo5aaMPLWvQ5vGpmlcjX3v7W+3GP\n2Ymds73q8k1zqlODGyKYs8oCzzbvaoO/3hCembGfpafHsPyv7ug46/pq4JQXal+LGhbS6jxMxk1h\n3HrLrU6Vq2LnmOPem4fUYzhybu0O4n/8ia/ubKAu2YXFp4s596MNuCrzdNDHALMLkTyySGm417OQ\npTTeoexwWxHCPW77ee32sbz9fVdlVZG7s5q8AFOc264rcuSksClhJEt6vD3sCO+HOhH1iCvDlJco\nJiTwqZcFHgnG2EtP8Y29K8Nc1c13Y6RHIp8Hx/Lm6c50GGMvHcxTBT218d8MQ6xk43intQKWP3BD\nN4r4t0MbXtZy+oUjRBQdmfZlPGlcBkjg0znKDrcVxtiLTHGdDOR0R7/d0JzgqGGeHZzHzAeDAlf+\n/cGj5mc+UF2n1Nj5cCG6dagK8LjI3j3FJN9jS1BbJncGf5Va4JVFL1WSktEsSOCTYboYBetiaFtL\n4eGBPLbfBEe1Gbo66GOGa8g19Ld7HcuyM6dZnyBEx9kaf/taimqruFQcxv3fdkeO6pgQnYdVHC4A\nYdzvfYI186L53z5nBps0US1DzTWtiUqpPeFWqK+Y1W17tJzuh5dvQo42vKzl3DicdD63l7PV5jK2\n2DCjw/YYkDepzL+mbCvvxiFq9GFoqId50AUxZ9jdHRv7kzOYp1NPs64wnT9CDTA3r6Wo0Bj7jZHM\nM+gNXTKaBftYenc0CycaYiUAaKLWN553vXQxKgCCVAXKkVFNbmYX9HcI1dZTlp7C79YOhFf7MsWt\nJzYrj+lhorY9oT4myJAYAqmODOQYHyW7MSJClZfFntNDeGZPV3RpOb3K0bR+TXPUQhte1qLfIENC\nGb7PzyV3wkhk5uXsYgPh5PAeZoxq41RxqduhyJpymdqQmEwmp+KyrMLx+kzvgEaqhHEsn2mFzxgF\nNFWSfcGLsevcGVXTyjnJV/ZV5JoP4RmRuONSZzsM4MHzgGoSWa+Ek4+zOmoICya0OlwAfYwZxqIR\nO3l6Uympddb4GynPucC2YleG/9xR2rVhiJUskrm91vygmWq1Wd8ypDRRVd762oag7xNYLQ7j/gB9\njJHQSDIbc4XoftBbtmihxfVCG17WcvqNc5npU94he5ZFS00IrIBnOMVnPEE+JxChx3E+Sx/EEyfp\nvNi7etm7Q85dur0yxtWjfRGOXZsvlljvW3qqN49DjowEPp4/gsXD9DEBQI586Em+jBFj9a4CeUwO\ncc87E+XvwRj9i+wtryZ35xAW7Oyurt7gGGA+1hi7Dnvy9TDEmcEuGez6tZjkae6MNpdQJ8/kr2xT\nXM55M8EBUN5b3Cv2XObchHR2TBciEgFZ+phP1sPQUI5cVkvBhUDu+MUCz7YnVilNaRVcHGGBR7tj\nuMC26gE8dJor3xVPxng5EPHOCb4YKULPTkpjWSTzGgwwh240D8hiz/RCTkgEiMoH8thRPYzkvXXs\nNxFH0/o1zdGGl7UczXOCOfRcq8NVxgOcZzb35jQQddaN4f9nhovqpvxryvZLX5q6fvmdgqhbim8f\nMc7dqa62WbF7W1Za2haXT4IUYSeAut46jgMss4xgTlSrw4WW3rWRPOK5lyUxpjgOGcyTbWulFrhb\nVpJ9x35eTx3FUmXH2+vn/gwbgmopfsgYO+cmqiurydtvjEMxEKBmHjKaq4fw9Md1FO8/xNvmOojr\nY1h0spOi+9dt816W3O/JuNuG8YKJAAEFnJSXcUEYzJ0IECBH7nGYFVZRPPGxPqape3n1QXsGTMkn\nUVjMOTwZSxNVpLA5TR+TTdb4tttLK8YiNZr/JSsNdTk7tpwMvSQ2vBnM7OGejNFrpIozbIiVI10e\nxRPqminc8L85DXM0rV/THLXQhpe16DeY0GyqbtwQcCLlT3t+jaPFOfYIAXs3fpu298QvcW4/z25Q\nVF0Iv/T1kSDM5D2V1xl00B9qhmuHJDABAoywiQ7mLnfV98xx1zfCZjKwU/W960GW2Y/OglG/jtc3\nFOon79ZtDChZMCOUe9vuBuoojoxjxelaLsuMsWu3eN5MPVXknAIwwlYynv+L603bVBHPKv8Apj/s\nQETbGq0jEUIzXLjIXjwZgxAhg3hi4Am+jGmiyjWCOfPMcdMHaKKGHOIo4hQCBHJHIvO7ovcgb0YI\nEI4GMMYxK5wH1V4gT7P+6ZG8Gtu6Xc0AMwbyqP9xVr8oo/kdETdNxVIt+hDa8PJNzpEjo5KLYmMc\nmvQwGtKXuvJxqoSMDm9cRCCt5bbK65Hd+ocjkTjmRAqAMsBXHacrcq7G0cHARM04AAoURmIs1Hb1\nMcDSmW6Gza/2OmPok1MmPS2/PSwqVA/gowv6CseSqHa6jbDV8WFiQDzvJQ7nhSilRCoS+OjUCBaf\npY/74Lb+IUB4r7LD/cdGG5poWwqnmRqaqZthjL1uIaf0y8nEg9HoY4I343FnJJnsCijk1ONODFJe\n722nW46M46xeFMxsP0u8dQHKyZQd5K3Bw1m0TimBL1qODGv8YtRV+wpkZmAKv98dzJ3K26c0/tu9\nwTma1q9pjja8rOV0fJ0Z+Xys24SLLwX7GDuXFTdWp+3XTzXduWSDJd7NfWFPGpHJR7joPRSZeeuY\nDFiD5VEPXvuFfu7P2lOOAJ24Qk6OdiCiXfKRlCaKOXe6nrJxyklLrWig7JKKvB7bc9b8Q9dpTzVN\nCYty1gNobpIiywlS6+w9iDVKZfPuw7y7wwSHIToYmleStT+a57foYyrrDXu6wlGgaFBnH7QUTgCo\n4CIlnGcUr1q2vldLMef5lSBmAi3bmRQo0MPI+Gr27GPJmCieDDDBsc27WuIlCufhUXtZvHssb7eV\nH5TRlKaDWG19TUOsBeVkFF9N11XGbmaOpvVrmqMW2vDyTYrzw+6f/tAyq3td3ENaY2ZmE6fJXD4y\nX6Cw/HH7y32h04ufjn3O9NcPcWCWK7VeNRhKz2B2WMLWD+37uSPO9WAIT6fvYfEGITr3tVZAqqNY\nfoyPDw7nxaXn+NEjiid9lOeUk9FQT6lqY/AeQz/64NTwqJC2cL1IR4hAXKuW20C5Qhej0nGsiAP+\noPObmz5FLUXJTdRMV14Lh5Zax/IrDREKSGxzrq0wxhYz3KjkEua40kgVuoiRUHvVPsFiLGOUHW4r\nTHDQMcImBmhzuroYKmopygY6dETKJb7KmaGdFtbQQovuQBtevkk5PkNkM1Xb7enqipg4023E9u0/\nj/GqmZWvbt712uPJ7yX18OlZGgQ66A+1QhgPbeWibuhzpjw2hjfjzvFTfj6Jt0upL5UjPT+SJQki\n9LzkSI4c5cMaByL8jbARF3G6vJbi7aNYeoleCi8bKqzslGtZi0RCzKNSUeQqUC1en87OkjG8WXoV\n3ddlTx3FurkcsbAjpFo561h1zkgWp5/gi+QhPBukvDc7iW/lvkwVypEjpUkGHVsnOTGINLZhjitp\nbCWYuzjNNzVcpeiGHqaWdIIr77U7HzoYHCkiKciesLYIRjN1XCLu5HAW+QAlVzkX6sZuZo6m9Wua\now0vazn/vK6nTOTghtoLUlCYrcE6r41WXqdnXa2YwHXbc6WQv6IvZPcXJ5jZqUCWKseGQGwI/CiZ\nXywvcchkME8b6WGkrk1cj+25nCLelptdMc7F3aLtxmnGKwK+KViK6ZH5ChMcBC37VH++qIP+BhF6\nqnufr/v8yJGxj6Wj7QgZZ0uQYzHJZcn8kurPtO+t8W9SnaOPKZ6MezSeVYuMsHYVINKpJve8GOvU\neFZaKZBLrPCbDHirKpUjo4wLnGMjHsRyiq9S7Qj9/Go2l5MeL6EhWrV5uoQGyslQzUZOjWBOahxv\n5+Rx9AEDzC2bqavOJ6FQjHXOdp5wE0BBKPfEuRBdp6qrp+fwP87RtH5Nc9RCG16+CaGPqay6QlIJ\ndCibWJhfJaHMIbv/rfrvIYiZ5UA5fVAzOTL7w8QNn07e/dSrAyYZm+gLAExM9bEdkZqz+/iy7wyl\nDg7N1JWF89AWa/w9els/wBHenxHN/24TYyEEsCXYzptJdnG8uXgUry1RN8eesEZ7wn6i/UWqLdy9\nj6V2cuTeQpVW32lsqamn+LAuhjrHWZ3lzcQfXBjqfDX7onjitwQ+mTiEZ4Nb2yTKkHKU948P4rFf\n1c2J4aWDQHEaW8uqyVsexn2x1eQJXYhGjNWUTHaV7GXJplje6NNMby3+u9CGl29Cjghd0veZnm+4\nvdlbLG6/DWLHhvyMQbk/VNOLWba9PE/LuQLPTZt/XJ2y0tRhdJqxrgG6eedEl+r23iq1kBZHgEBg\nhmvhFYd7VTkNVIh0MBiq8kR4VXuaqROa4za61eFWcokCEhGigwEWY07yTXwED13s7nGFcd/uo7wf\nGsG8AANMUaDgEnE1MiQnxvHuBqU5ztc6LnPciWBu/BFWpRlh6wsCZDQ3hvHAZ6Y4eXU2D4guJyty\nIPPDM9hJMHe2vRHAbTZODJpzlh99Qrjr664e103I0bR+TXO04WUtp/1r5/2r3vzkhceNY2YZhEcO\ndrTIz6tq/vvny+nFm2JfNkekuv9RG366ATki9PBMeflzUlrGMnhpQSihM4MI1gcoIyN2N4t2xPLW\nJiGiDnKO8mGoAsWDFrgHypEJysn0MsXpk1DuyVfVpao/g78sTHAyAMgjASkNBDC9tcCF3ll+WHCU\nDxYOYYG6ohKdHpcl3oRyz0MnWTNXgcK8mbpaU5w3RzJXXabyVc8PgBgLhvOi2qfqzuaVkyG2xn92\nNvvxYUoHoilOOhLqrXpiz03G0bR+TXPUQhtevklhgJnc44/vv969/9vyn123D9at8MgedHmjxAK6\nVHBAixsL+1gaHckjsyzwaAtdWOGtP5Tnph3j48tDWdDuonCSr9ws8X7DlylOSsPjEvnCtYikOfaE\nXVWfK9E1ORyslCMXV3GJIO5oe0+IkDDutTrGx48Cn3T3WIyxl0azcD8dQ9D9ghoK9A2xNKzlMroY\nqOXoYqi20IsWWlwL2vDyTc7xr78/ntT70zVgT1/Kvuk4RthOV3a4rTDCVmSI5VjgsPKcRip9Ipjj\npMofwEN+R3n/SXvCylXfU9ZvjD0NVBTlccTBiSg1VLAnLLScrFhLPHt8XJrguBAdmMR3+ea4e9VT\njqGanEMpjXK017YbWb+mOdrwspZzQ3I0rf8/w5EjVe0X3AYZkkrVefqYqX2U1UEPEfoGwDXDwmHc\n/952Hn8oljdi1ckSIKKe4kRLPDV+frrDEaJDFbnFDkQ+f4HtRmHc124bVgGJlUJ0frmRbL5BOZrW\nr2mOWmjDy1po8R9ANflnm6idok/7KosyJNRTelGV30hlVT6J1JCPAjl2hGGJJwoUNFJe3RWduogV\nk/hg0Xl+/SGCOR22+RSRlBzF412SdaNhFK9uP8ib1SC8I47lwVb4ivUxlVZy8XwD5RtjeLlAdU4y\nv7gXcGKQAnnJcF782xArTZiuxQ0ObXhZy9EUR9P6/1OcGF5KSWT12SE8F9K6PUaOnAQ+vRDB3EqU\nfodypNF1FLuJscCJgUBLMlQJ59HFoNKd2JNdtccAM+RI/8rjqJ0zQ9pKTWXwV5kBpru7e1x1FOue\nZv1oY+wi6yi+aE/EHk9iS7orp6scOTIaKBspRFckxkKmzBnB4mJgNUAT1TE1FCV6MrbhSmGPNjkN\nVIgS+eIxP6YOCmKmTiPVpPDbPAu8TrgzQrVHcjTAWX7yrqM41ghbj3pKssVY7Q/l7rTuHFc9ZTq5\nxFvYElSjpihJl+X0EUfT+jXN0YaXtZwbkqNp/dfFiWOFrwLJIDPcJgHySnLO2hHyuT/T+r0NnBgL\n/Lj1sSOs+p8YSycBAmElOed8ueUbQ6xclecd4f3xI1kcqM8/uUDORJHHMfkpvl5/C18cAkq7as9A\nHk09ygdHLrJvhjF2rlXkZZrhvDGch1srcHVJThrbrSrIWBXFk8G6iFGgCMpm39ADLPtgJK92Kwu6\nK5yDvDVGjOUsS7x8G6maUkrKSTdGrHJnVAdd+piij6laOfGsemokS4bqoA+AAaaE85DbSb7GlqAV\nhlgp17fmIG85eTLmmRBmW1wZcingROgBlq0cyas7lWWrOwYZEo7y/u2muLxuS7BTCefLk/k1xZfJ\nP9gS3Nhb56cXOJrWr2mOWmjDy1po0U3ki44Y1kx5bbFtwuRYv6IX235DChReCXzqW0XuKjNc+t0u\na/ybhuO/iWtcAMRYBOtj2qFusTODhZns6lFMdEhLdvRyrqOu82WSnozh5eDW9VMBAjyItaqj5JFa\nil41xr4nYtXiECuifZj0igMRrXceJgoUjod429aVmI+EHStRdgpLvNocrjICmO4ax/Ix4/m/Xa1j\ncmQYYXufM0MslLmORJpdJuluCfV/6mJ4VX37ef3hoSyYZoi1EMCOEFtvJtke5M2ltgS/1GXDtdAI\ntOFlLaffOM3UCTMCl46wCap0r6ukSRw3r9KucfANZWNXOMKZHyzwNg0cKCx6qt0bAgRE8khgEuvm\nRfKI8lYZjdus/EIXYxs1HADEWNqhvtVfOzmZ/G1fSfYDQnQkTdRUGWF7IITZGddjswWeg1TrRgP4\nMc3lHD/eF85DvVaMwgDz+5UcLtDy+Q3gochUNt8TyO3fq5un7rUeJhaogRgLgSFWQcCl1rECEic6\nMyRAHd+NEf7n+W1cGPepVtpq0yWjWWCN/9RWh9sKISJ8mDwsg79GeTOh6Fo2d+W4rpOjaf2a5mjD\ny1qOZjnlggti6dznnnnuiZBIYxMXFAoFxw+vrfnry0+zAw59+/uNYGNXOJlmP7jcerfVg0c+ssdU\npVQhtGT/KkDaX/b0hFNN7hkFChdVB1dLsSKPYymRPJJ6pa+sWjnxrIq0IXBhJPPaHj3zSYzYz+vv\nj2Jpj0LrMiSpIJCr4SFCjxoKcrsip6scPYzM1OkywUFUSU5jd3TVUZQOdLiRKeRUoy5GW4HM1jEJ\ndZYCBHegpqmDhAZpPaWptDhptbouEW9siqNa2+0IM/yb5429mZCqOu8qr/uSo2n9muaoRcerhhZa\n9AGqJy6f+dgLkZHGJi3FBgQCAVHDnU2GzVbMvSjc1WlT+BsNNbZHfP0DbQ11jDvdoYOEuk77xt4I\n8GL89hOsSVWgaBuT0swJ1gi8mfjkab5Zd5p1nVbH0MHgYR8mtYv1OjHQzALPe5uo7npcVgkidKmh\nQLUpAwAX2V3iy9SjACdY67yLF4ZfYLu5Om5X0UxdhfrxehRI1e1R7hRN1PxSQGKl8piEBjL4M3Ew\nT2Uqj3sQW57HsSR1cnI4cCaKJy+pe68VDoTX11BYpu69UlLqLfFWew61uHGgdbo3MS4LkowOO8yP\nOqO/tvcWyzqBR6TUVyjs+HUbOd7TrnrImml9rb+3YFQanpmZVtoYMLWCKv2ON7cFnKw1xv6QBkzr\nMuwJq6kg+/1jfNSUyhZS2Ew6fzCMF7AhUOhMdLAxjnOS+M5BhoTdLBq+kwV3prPTPp0/zGwIClIn\n14sJ3kl8F9hTu3Qw+CaFzXnKY5VkN+UQt0mAUHGQ5f9nT+iGGF76QITBxjjeebiesh45+Sou7auj\nWKo6fo4fM8KZ061mBjG8FJfJ368f57PT59iYd4qvUw7y5teDeXpNJ1NWn+GHHBkt6uXISObnXDnS\n1aJr9JU2wExewvkDTbTvnaxAwQV2HFd18lrceNAmUt2EaKRKmDftvoVDxluNmz3Q2iIn61jNoZ1b\nE/S+f/tna5na6+l1Q6QrUPtdEwoFiPQVHSop3ajwqXg4+8/ffk984uXI4XnzPyfv2/HYlU8EFKTr\nbK7LlyZ9Hsuya1745MjYwyu3muI0TAd9gwYqyh0Z+L4nY/plX6s+RqOH8EyH7B8HBpDC7/hzm+VO\nnpnXQIXbYJ4JNsFBlM/x+rP8cMiHKTJ1MuVIFAJEHRxZVxHF46mnWffUfl6/yxz3gAbKCxso3x3L\nG3vjWbUmhpciWkPiXoy1cmVYbBxvPRXLmx90V9coXvvlAK/buRA92YMxtvWUyNLYel6OdJUhVt0+\nhhheiqOl367ynZja0pWDeSo5h7gH9rHkTnPc/Kq4lO5B7E9BzKrpiq5hvPDZcT5xtCVkgAMRdhVk\nVueRkOpK9GvdtVuL/ofW6d6EyJn84BPPvRUyq7XDkJW1sUn4IKcxn0rfMOeHnx7tLT0S6gVJwY9O\ncB/cOFheWKd75LCAwUM9UH7iPZ1YUM2pUX/3ls7+QPMPTyz9WLr65egJtlF+I7eabFv7bVV2cmO6\nS/YjL8SyTLlDU6c4xDsPDWPh6NaEGDlyTvCFt4SGBX5MVRs+7E3oY9ZpeFaACAUKzHCLGcLTbUlC\nTgwytCVk/BFW5XkxtsO6YgZ/pg3ggR5lLrdiAA/mAu+ilAV9jI89PBkTqLoGrYsYG4Jiain6xBj7\nbjlKEbrE8uYnWexef4T3ZkuoTxrJqwlXnjT7vM6zGzG1bsR8RQ+yvQ0wkw9n0Xc5xL2dwCd+NgTm\nRvOcJdAlp62FZqF1uv9CNFEtOi781NVaHljtz7TKa8/4B/WUiYKH649QbeknEAiIvcMy6IedKzwG\nVLzYoYJRdyGhXpBz+x3LXlwUMtHC0lAAUFlRz5ZNSdw6PQyRSEhJca3sj+8ubw+uXJN7vfr6E66N\nE6v4duKLO37cYC0XVwy1qB68ZwxRnS/yquAQ74QEcHuMcgaqECEDeSxgP6895MfUlZ3NlSEhbdS9\n9/pGy2ONzUSWlfk61VkJuj8HHv1me3eOoZbL+XLkqPatVaBAjoRcDhPK3R0csy4GiNBVnOXHnCBm\nuQmvOOgsdpfUUvSlLmKF6pzrRQVZfuHMUdt5wAQny0JOGvkwuaonsj0ZW+PJ2Dh6uM1Jk7jiuFuz\nZDsWiNbihoR2y1AfcyrIMiiJfneCvX+zc1ORhWn5SfdNfkVPdVZ55pq6MocsmOg3tnbyUzEGFqWF\nmfUndm9M0d24JNlC0mEXglo5NRQY+Tka26rRi5e/pQFm5aOpaLfpsEfHnub7+vBnlBwugLmFIWMn\nBPD+siP5VmKHwtI9EVU+We/8Qee9e3usvz84QZJ7QYIN4NodOSL0ptvg3yGkLkCAJd4RXKWXcXbs\n/FlPr3Cfam5p2OYtL12sePnHRQvdvRJX7gaiCzhhdpG9txpj5y5HLpXTXBfIzE+VKy4FMTMxmZ8n\nhTDbUVlBBn/iQjQn+arBjZh2DXZbYYm3kTker5ziqzkKFA3N1NTYM+DvEbyirnLUdZ9nf6bXXiap\nyYWhHcLh1VyqCOB2R8ChN3RpOdotQ73E0W4Z0gQnw+THcuf5P696YU5IgI5OS77HhdQ0j42r7lwb\nsHfjt93VdW7wA7fOe8dqppOLiz6AlzdGUcMVA780eNVItvaHj9UkYXSQY4arMC+nunBwDB1q5fTP\n+AAAIABJREFU5SafKqnTLQ//E1CtK9vtY3cYkXW3hWVwh02XJiYGmBmZnTX5Yv1iE/WhtRvqM+wL\nTgMVJQoUqNuTKqOpVmVu29+lXBAPmtE0Q9nhArh6WOh5TD43WJJY/2kZ6SYFJD4TzUL/VvlSmonj\nzcbhLPqfLoYKAHvCUnM58r8jvPeoGe7hAgRGdZQI9TFrOs9vZ0GQWEDi/Y4MbF/MGailOCuAGccd\nCK/pi/OjOubOCA6xItGRgcOUv+N1lMhLSN0eijhFdU5f2qPldJmjaf2a5qiFNrzchzCY+vO8ex4J\nCxAI/rm4+vrbGI6+q/buQ3FbtnpLupe06xVTP9HJxbPd3b5AIGD6HHe/lQcfHzHowpcHr2kTZvLz\nB+V/x06p97CwMGzL/JRKZRz8rSYpqPqxDoXcewRB51FGoVDQ0dvcRDDDdUceR2e7MNRIeVyGlHKy\n1G4nAShw2Oh311BHtZnm/qEW7r/wm1UthVOjed5f2aHroEcUTw0/wJtjx7K8bf18EI+lAwtLSdXX\nw8Qvk7+KFMjkg3myFPDfyxIPW0ImKVdbKiGlrp7SzT0/ejjBl6GNVN2lj4lJNXmXfJic4MLQq86J\nYO6XB3mj0J4B0aa4WJaRll9D4alRLFUtmNGGRqqEqWxxa6CsfijPXnUrjhZa9Be04eU+5Lj5GQ0U\nqPEv0aPcrPeG/PUwJ9Wux3aqy8xcX21tQRtbY6G5dc0QLlDcFTl+ezYe/uLZx+0CRpeO9huob5KX\nVV+VtFt2xm776gv00udVFOeeX/NEIyYm7Zfi6uuayI9zKjBTX/XohvsM+4ITyTxO8vU5PYzC7Ag1\nAGikikQ+PzuEpw/SSXjZuiLGuTD/l2Yzc8MOoenSguYGN0Y45XIkVN0TtB4mQtOg7LmNsQ/MFjQZ\nW+Scaz5uH//aDlOcmq1b1A0M5+H4VlVA9FCe++kYH8lNcAzTxdComdr6Zuq2jmRxNl2oWqXu9RHe\nm+LL1Dus8NWFljXkVH6feoEdK3yZktvZPEOsokazbHMtRTtKSTX249ZqfUwH0/772jbnOKtj9DCe\n6MowNwl10kS+uGCI9cZAbrfrrs1ajja83AOONrysCY5ARzJBDQcAifhyCXC8O7qqq5ryaFm7aoey\nkjp5VblEnSy1r4WI8I77Ynl1XMWWb/ipzIXoSjfCGrlGcfoEnfedjQQ2l3wlM9Jaw5Sd6fJKXXLh\n83dmez7+UvgYI+OWJ6X6uiY+W3H6gPu57z4HZOrmXU3/f4kTwcMfH2alKI3tk3Qw0BdASQRzv1It\njq88z7FxFAd3fuDuH2Q7RJmgUChIOlpx1AW3pCz+LoH2hZ+lNFM5+RXeWuXlpavX8pOXSmWuX6x8\n1FX65QfPWOLdrM5GMRapw3h+KbQ8NRpg5gukHmJFiALFZDEW9hVkNYXz0K/W+Ddd69gvst/YCr8x\nrQ4XWtaxA5hhHs/KWF+mqNYN7iDHGHuUajDL1HHieDvKh8l32RPWWuZRx47QwDNseKicjLcs8b7u\nz/QMG/xrKJxtgIV1PaWXddDbNJTn+r3RxQ3O0bR+TXPUot/CyxmW6+x1x2x5wNXTNKxZ3lBxIUGW\n4HVgzYb/cs/JnJTmc4CX6viRg5fKxSfu/AM1peOuhoxDBn8V3VodZu9o2u5JZ/P67PSw1HX7u2uf\nGAvZIOYXXYuX7PVKqNu0lCceHmUXoi/O0j1+cGtK8p+m3wcdX/tXZ3MMMJPb/bTh5TfTH7/Na5A8\nUtBsZJp5tv6A//HvNqlxLP96SKgXHLd5JVSukAkGl65o0kVtDlI7DGNhMpB85aU//9yIdIqSXyes\n+Frvz6W33uUbYm1jLMrNrpRs/j79uGLj8+8CNFB+tpGqcAPM2h53Lzv9wrwVBrQ6XAAdHRHzng0f\n9Ob5l2ZaHv5Ftc5wBxhgJgfYy+L7g5g1145Qw5bjbow5zqdjqslfcK09xmlsmTSelWqT+ExwDpIh\n4VrFIboCEXq3KDncNgRxp/sR3hs7nBdPXY/8/Syb7MfUBaHc27benUv88JOs/S6CuV2++Gpxc6Jf\nwssFxrut/Z7avXD6/QPaCnk3PigZ/MnL8we5bfnppKBjYawbLVTQI47g96f2/Oj05YBZc33dRKKW\nY8xKL28+9I14t2/jLJvu6go+8l3q+hef/D1gfO6EgbEm5pcL6huP7axOEWx85awuhn59cVzV5I6O\nnHNpytQ7w9oeLzw8rQOTgi8v2vnM5/reRY9d6EyOIVZEntiYzAmSgegIOAv49LaNmuZk+i2P9Jie\nfNvCybbuAoEOh7Y+WZq5w+0nr/OvHuttXX4l8+NlH85Z9env74QLbQsdDbNGG7iUr/xViMgZYCjP\n1R3inUMh3D3EAk9dAJ3QRJmhobkIIPVUBYm/iZFVm2DoXo6dmyiGw5zoij2lpI31IHZGq8OFli1E\nQ3ku9AirFnky5turyTHC1lqOjE46+IgECNWGijuzpzOOEbbuahWgizH2gVzHEoqEBoEFnnMciGiX\nYOZCtFUFWbPlyBKVju+G+672I0fT+jXN0Wx4WTLp00XKDhfAwECX2QucIr45/t7+gIKFmg4D9AnH\nsT42NXul4sxbJz+9xzVA17OhxFDnUoLRz5FZq491NudaurziP0mtiC/+891VK6VGdYPKwuVzi+lG\nz9LucoqGvTH9gTs8OyTvhA20Mzk04e9w1j+29Tp0dTqvkSqhHKngSiTkhv2cs4222Me8mLEoeqSv\ndevYzMfMbE6E592z5bk3j4QWLb7Q2/aI0CPo0qspV3rXtPvshegwgsVfH2DZQBAOkyOR+hgVBYP5\noL83VJK58k6sa1qSluTIKDL+1L+Ab+rDeeiaodFUfr9lGC92eIIUIMAQWxclvlo5PkzOvsC2iYHc\n7qQqo5KsRCGiLi2PqI7VUyY6wvuPWOM3RoTebdXkqn1cltJMHZeTO5PTFV2HeCdwAA+qbhEDwJZg\n60Q+r4riicJryemKrv8AR9P6Nc1Ri34JL7v66/moG3d2NdczCbsQQgG/9ocdmoC7fEwtu8d8wW4w\nBn+bbnw4ncEIW8nwmnf7JYxl5SK3aH1KV4WlnU63wuNdQbrZejvT6Zuf8gg2CNPREejkn9fJzd3r\n8mlgxludZvVqEsIRW8ZGj3SzVh2PHOxkeXDkqRls5B1N2DWSVxOBRIDkxNfuu5hVGn7+yyE6TjX/\nZAkLERFW+7TxYf7vUeC7a0tVUzz7CgRdqONuT1hjKpu/NsHxWReGGkOLI0xifbY5np9dW796HOWD\nxSN45ZbWkH4RSeRzXOHEoHYZZef4MSuIO6+r+pkuhk1SGqXQMQ4uoUFqgIXkeuRr8d9Hv4SXm6v1\n1OpRKBTIy2xa+3cq44YJFVwy2+xgOHrPPIeIchO5HPmlJFG60bbFF82lvhqxp785temOxjKZHHWO\ntyJH3GTb8yzkDmNNVMc4Prhj3ANPD/BsG7wFm/2hOStOLPn1/9wq7sjv6XH0FcfCzKzDmn0rrMxN\n3ehhlm9vcgKzX9Vd9diM9OF5q9T2cTXDLUKBPFNlmaeDHC/GNeVxtE51qxNAA+X5dOG7MIqlabkc\n2X6E9831MDJsoLwwgrnVhlibA+adzVNnDxCdzk4HP24do7yGbk8YORwSHOezejdiDJqpkxRy8oIJ\njhvNcYsEmlTldEVXy38LOcVXWTYEqC7nUEpacTgPWtOS/X1VOV3R9S/naFq/pjmaDS9fOF13oKlJ\nEqSv3/7mMOHwpUrOzN6A5sMAajnphj/aBL64+Y1pdwZ6tP6OSibWOK01mBecmmJZ5n76tc32LVm/\nN4zNvc0Rn5y59o9Nb9ndMjPATXk8KbGgsvCow3rba4QUuzN2MWLxhOcf9fVUJYya5GZ96tAPUfx0\nx9s9PY6+4pSUVKcpFGY+qlvDFAoFRcWVGZ6dn58+sUfdawFCGjM9KwUI1DpdBXKJAkW84BpyHAhn\nDy9LTHG6xwxXPWipGX2KtWmmuKyEti1rV5XjwlBcGKo81uPlkUx2DZjI+4aq424Mp4b8mlLSljRT\ne34Q80uuVxeQKkREE7WrzrPpTX+m2QoRIUNKMhuzDTD/qqtybhKOpvVrmqMW/RJe9jiw+tuPXn/Y\n994n/Ec5OJnpKBQKjsfnVu76unFtQOP40v6woScQjPn5noHD3Dx2/5WCSCTgYlYZoQOcWPTGaGtJ\ns2zh7h3vzD7+q8GaoGPf/KFpW/sKtoqQ+pNf+LxWVnRm/qCRNmH6Bjq6Jw5dPp/yp/n3YTlvn+lN\nXVbe9Y76+uqz2e3ddJ3VvnGdyNDdYl4/5Ntpuvro6ifMzvKsntnhx1NKqn7BsFdvd/TDq77QRK/y\nuP83oaXPZwHoH3rgr7+3fzFg/C2+7ezbvyursGn/+J/6wuaeIJjZf15gx0MB3NZhy1kNeec6SW7q\ngDEs/3Qvi8+LsYw1wNy2nMwkD2I39Fd3JFWI0Cuqp1SuXMe6FVKaagZw52Vauv/0GqJ57mQRSUv3\n8Wq4GCubekqKfJi80Y2YPvmOavHfQr+El42xx3DjtnVfHn73lKVP9bh6RVm26OjMAwGNE9XVakXN\nmEY4+haNMZeLahgz3p/jx7KZfEsw9g4tzVX09HWYPMPf2cz80v8SknZXuzSOVY0394vNcmRcsvp5\nlv7wPfoIEFQm+J/0K3j2nBBRr+kKuvhGPB/w0bYPd1rpYxzlpIjeGdxyke60RnAXdHUYa7xkY65Q\nKFBXUKTuslhh3suh2syBC8cOebjsthHjgs2FQiFnju9v3vnV9n0ef3/93RUnFF2sn2Aqnrfyf688\n7uvVGqlJjM8Yvue9RRu9Tr2z36lpRMDBT37bWZCfcFdwuK2xSEdA8umy5pTdhifDK+abcAOEl4Fo\nZ6I4yke7LnNmlh2hYmh5Sk3mp3xbgvd0R1csbxYC3195HQ84XvnXqzZ3hRPLG0dOsy47kkfaRUik\nNFNL4QUJDcNF6NHbGcX2hIXYE6ZcAc65K3LKyRh7jo3jhOg2RDDnqCFWUb1hzw3I0bR+TXM0XxxD\niIjAvJdSySOJGy8M0IFTwAmx7wBj24iBLYmK1VWNbQ5XGdGjXcwOxq4O44+xe/rbZhkSMm6Z/vID\nz/pMcnZz0QXIzckb9e37t2732bZ1UxeyQdXqaqRKmBzy1AQz1wbXpnQvmceF59MNsZJ5KyYBlPXi\ncbUbE5ycsO7g7m9cR47zbJegdeliRePFBL1fw68jVJvq+s4AqzGJdxoYCcWXkmXpgmOT86Y8V/VC\n5GD3tg81dJCtnpOH0Zj3yu47Fn7yh60AjdOXz5y/YICX8o3AwGhHk9KS1Cl/N88s8goxDHVzLAwL\nG+Ri7OpmiQIIj3TTuxBdMvK755/8Kyzlk3h19nTF5t7mDOHp1EO8c/Ai++4VoSerJi/XhaHfezOx\nkn9pHWwReqlSmpceZ/VLwcwOEGMpOMfPTcWcazbDdfRp1unUcnmaHMm2EbzypS6GGrN5D4uf8CR2\n+nBeMpPSQAq/T5DRtDmCOTf8ee4hR9P6Nc1RC23t5U5QELFiyvxJ/m3ZGSKR+nLBAoEAUyudDkXh\n+wOnAh8Z+9zL/tNsbU3abuNd3Cz0Hnk5cNpn51/LD8x8o8tfhFakWax1dHxw+1sv3usfbG4uFlRV\nNSg2fz9neNq3E5b4lczv0xZ8zs2jKvav+XFlWUnyoxOneXvq6ulw4M9LpUe31f8Ufv7n/T2Vmzpx\nxvz7n3e739U9RBdAIpGNXf/5pkov3+AOd1FW1kY6XtHNMZxkK4BniH6o6pO3RCKjtrHOYcm3AYvN\nzQ0BTwoLqjgan8XkW0IA8A2wMXaJOTuVFOJVdWgSw1mUREsiUbe/GzcqBvNkSiNVD57iq/tKSPEZ\nyKOxwcwyaX2/khyHfBLnHWS5yRje3KEJG/eweGoUT9xngoMOgB5GhHGvRxrb7k9n5w4fJnWrRacW\n/15oay93wjGQWTuLdP5ZJpJK5WqmtpQ2LD3pVGOnAZs9wwVTlB1uK2xsjUWOAyrHk8kx1TnX0mU9\nbe+Qh54MD2kdMDMTCx54PDx4TcXB1/h6/v9dr82tyDL70Vk/7PRsXZuy0pIkmwu+Ga8e0UU8NOjk\nF/F1JyteX/7lu1HoVel7Z7yj8Mf+KD1s/5dttMV+8v02s13dzduy+HR1Rcx5cpD533+eZ/ykoA7C\nxLrGNlf0RQsVuh1KSx2Oy2DKrSEo9yR2cDQjYqAr587kExLWsrRnYWF0Q2Qv95QjR8YR3h8nxiJc\nB7FYSoPMCLtv/Zh6qZM5GrPZADOGsEB0mnU+jgxsV7HNHDeKOSdwZODEavLqTemw9NrnNpvjdmur\nw1WGD1Os4vm/+T5M+r0/7ekHjqb1a5qj+fDyNcZuOI5e2qiSo3E7J0ePdLcECApx5PDBDIaN+Kcj\nnkKhYMMXZ5Nckj9bA3j3t81Ck9pOG6cLzSoruqsrl3izmHHi+9XJi5po4vPzujUVEfJH2oooNFIl\nPBfy5ESPEL1gmV6146WjpofDUz/fd6WUX6e6UkbPvvfWx83mhEU4moAhORfLxmz4auw0V0uv0kZp\nvffFeOMDEWfXfXNlTo/CnmdNP66ttT8WJLItCg6PGt5hi4tAIFC7dqxQKLh0sfKs1xV5+Vn1XvBP\nsV8AmVTezuG2wsHRnJTkf6pqlpfVXbS6jpD49XDOObztbTnm+F0O7rpu9WUGioxEaXnw8XWblcos\nXlPOPpZOi+Z/t4uxaLv7TGfnkwl8uiiKJ873ts3Xy7nEIXMbAueo4eBEFAWctEjh9/LBPNXvNovQ\nE0LLWnM2+5DShAg9PBgN6iMPN/w1sgscTevXNEct/tPh5WzrDe56EzfNtHfXc6mtlNYU7PE775/y\nVpdOjm/jrLJ9Gzducvequt/R2UzP0cmc5mYp69cerTczMm9EIK/KOtN8Wr7lsU/dcZb29bGoQ/Yp\nzjY0NE9QdQCNjRLyThpfCOymvGrhJUNLG8MODgrA2tbQsE6cZUFdy+t6ykSX77xv+aLnQ2LNLVoa\n1Rdfrpm6dsVtO7y3bP2ls2zYZOMvHSY+ZPhQi8OFkuIa0lKLBC+/Mc5JIBA4AVwurI5du/y2AL8/\nNn/QzUOggBNixcyVT02faRroF+hmknJOv2nb5jOMHe+PoVH7HuilxfV1crncSKhU82Hbz6lZ8n3T\nN7Rx/hz69Xb/k/5TZvi5tTrphkapnGsUg0hOulydf9BliyYqi5/3fDV41PM5b48aH9aWqVxaUhvy\nxbKZ7l09p+nsdPDn1onKDhfAh0mO8bx3L/ByL5t93TDCvqmCrHqgQ7P7BspporrBEq9r1hrvC9RQ\nmFNB9oA8juDHrehhRDN1JPMLZWSUa8ImLTSD/2x4Odtttf+QF88uGD4hrG29tfCO2uHfvvqondfB\nLzZ1RY7fX7/t/yrz1QanQWWTxHZVDYUXhIXCgwt2GtVO8AHir9SCs7/yr9/DG37Hvjj71Yp5Zx99\nJTBEV7fFyUkkMr5akXrO+/S6ejppe9bZmJ98uufpQ9tzPb2sO5S5O3GwLH9g3UciYDBAysDH7l38\n8oC2DkIAtnYmOnNfCJi6PuEbPY/CuapF9KMvun7mbzTyt3lR0cPb1lJPnbjUIcRr52CqM/UB+xm7\n47YkudVM8+jq+QBQ3P7eY0++5Tu4tZhHxCBX/QGRzuzcfo4pt4a2TVAoFOQlmB197+gliXuk1E+k\ni6johFVd48F71/pUT7UALIDogILn47Ne27tq1Z7vJuvbV7jL5TL7muYKxYRJgRat57wVpaW11FY3\nyn76OLcsZ4/Db6EX3qhBA+Flh5HZA0eN92q3Ncjaxlhn3J020w7v3pvg0hyr+pvsIKea3Nt9mGSi\nhocpTiHcgGFza3zDM9iZ4cPEQarEQk5RQ0FqNM95AZf722ZbghIusH3yYJ5sCzVcWdelkaoRwNH+\ntKcfOJrWr2nOzRdetrx172PDJ4S0S3BycDEWDbmreHjCoV0fe8jH13RFTkDGslQyOAakKnmikr6w\nubscMRbUfffmY/+X+cEC16HlTggg86T0jN3e5d/pYezRXV066HNuv6I6MqbiaTdPi7a1zNycyqYz\n+6QbA7BIBmTn7FY0D7ilcZSyw22Frb2JyGTEETEb23dbyTHb5Dj4lWPPSRU2dsphXR0d9U/EYQMd\nDLcO/taL3dMOdfU4MvjLdPhk3SDV6llCoRBLK2MqK+oxtzBE0izlu09SMwT7HnzbvXFKJX+1tPex\n6SSU7Vgfy7mSnwxH3GP1ctQwV9PGRgnbNidxy7TQts49tTWNfP7O6f1lv4//cAjPGHuhl9IVm3uD\nE2+3tiFtTMa9Ci8bT90qBPc5NLipcgAGDXMy2RLxqYfL0Vh1dZbbya6nPFVK0xCdjg+NSGmsVuJq\n/Heg/MIEhx3xrFwRzpxgMRY0U08KvymKOXfOlWEvA1aasLmB8jIHItQmhjgT5XOCtRWRzL2sOq+v\n7FEdS+QLjzqK7zDB0aOaXAtzPH4awAP516mrV238F3LU4j8ZXm6kSujspdehTBvA8DHuttuD14z3\nODP+t/62qy9gjX+TdfznW4hv+dA7pgV1D4EHv//l60Vzq9yH5U62tNOzq8zXachK0P0lJPHHna0c\ns1HH7rSxMzboTIZA1DH0Khq5bfyIsR72aalFXMwqxcOzpcKXQqHalpe2cZn02q3ulFFkcNjWzdPM\nQt17zi7mrFqSsM/Dw0aSc06e5nrw/dPuuKjNGJVQLzg/9IHZPuHicWLLJnluenOmk11jRNSwIaZJ\np3IpvlyDsbE+69bGIxQJFc1Vekl5J0x2BiT++rt/Sws8dU+SfYKzltuc0hZJnzC69ZG2e8LaP9X/\n/pubpcgadeu6IjeUe+JS2Tw2mDvbZR3JkVFBZqd38ZpGELMu11M25xDvTFQgj2yixkaMxfpxrEi8\nQtFIL9Fq8o2cGay2EYMYS3EtRaZ0fALvF8Tx9ghnBr88kEetARQoojL4c/RhVi4bxsIETdj0X8Z/\nMrysi1jQVC9UezVvbJBgUOXTWrSgX+z5t3FCTqy9xAk+lwBGEB0CF1E6X3b2Zt5CYRNNTRJUS3tW\nlNdRGRfeZKXyudvaGfkA+Pnbs21zElbWRpiaipFK5cjlcoQqtfSP7M+tsjj83PnuHEdI4zz9lFOL\nS1xcLTs0YjifUFfjvvPbDaa4NIX8M0dtDd68yfPmPP+W9yhTU4PWR/IBe/9O5Y+tZwgMcSQs/J8e\n8RezSgXff55sGZ64IxnwVZbTFZu7y8lkl2MpaVMMsXKVIWm+aJFsbTjx4XaO5IzMVu05/WtTdpH/\n6Q8yu6LLDJfIDGo2pbHtXh8mWwoRUUuR4jTrz0by6G5uwPBy62tDrBjHikyg9Vhr6WH2e29xhvKs\n4Dy/5Vrj3yEKkcfRS0N5VvcqNvaZzXKk0cbYTfAgtq1phwABPkyyr6HgKeCtHupCgTxaQoNQDyN5\nZ5weyv43cG6u8LIIPbKSaxMUCsVU1QzVPzdnZHjlfLQBkKrO06TN/yZOZXW12x3DA8N2bDvL5FuC\n2xxvXW0Tn71/NNsr981vVefU1Nflgo0bwNRpoRw+mEFjo5TmJgkfr9rfMO+J4WJDw5aEsOQzRbV7\nvq/7JkAy7BhQ1VUbzXAhcU/Vn0NHN95r8o/DpLamSZG0S37QExfVTkUd5Jy0WyJ4YL75YCWHC0Ds\nOH/WfxWPu0f7hkIentYERJra1v1Wlm6IlfKTea+f+wx2OTRT89Rgnmp7qg3ObGLnM2uoXz25LRs7\nZ8RMlm/6jCfHmmNubohcLufA31nFpzcbfRCI/VlA0hV7Ipmbms7OrXtZfLsexsb6mJYP5bnvVBrN\n31Dfze5yDpuvdi0MLbWvN6gY4ZXo+9ew8vk5faFLFzEVZG4oIeU5GwLalm5KSWssI/0HPYzOq5vX\nE13d4ZzjJzdXYtzVzMOOUM8rYe9rtn1UHsshzvgi+561xm+wCL1ZNRRkNFP703BevOayRk+P4wbl\nqMV/MrwM0Lz5gY++MvnBb/Zj3j7GJgbIZHL27sguPbfJ9tMg7DWSbaxJZAQviXaakPKMpb2Oc32N\nvDI1XnbQd/ePh0R03PpyLRTEuWy/OKN85JRbQoyPxGchu7KHOSu9vKbp93ueEqHXoehE+YGwuLTz\n6eF+gbZGAoGAIcM82bc7DRBIQwe4SD7/4HCVjtSkTtagd7w0LmhHeOFnqmuiXYLHjh8+Wl37jKnf\n+OoQJ3djm4Kc2tKzByV7ffb8tL8r840GpMT4BYZ0KKAPYGf/TytZhULBwf3pSJplGJnoGmTfc+/K\nukND1gTmLO2R3V1BCcmTh/JsuyQ3HfQZtm8afx48ic7IlkQxkYkpp299liceWfDXIAeTssYCS335\nsemfB0pmVHRXpw+TKn2Y9NWVl/0WNu8PrJ/47HwejpkljpxoYgBknDh9V8ZXz/zywF8f7u0LfaNY\n+vsJvhRn8ne4GHPbRipLdDA4PZrXNNbaVEEn6zutb3cTMiTkcGDFCBYPFv6zymSdyxG/M3y/OpR7\nuuyc/qv4T4aXATzqpiP5fOKe9w4uOWDlW+ZcVUKdXfxrlUEKjxKuntWr6bBEr3Mywl6JmflW/cNe\nASGtjygOdbc3+a955oVhLvs/eEfdnKvpGpDxQfzvry38JWhG9sSRk10cmhpl7Nuan122dfRvIQ2P\nmqmT45O3wGzz6wt/CZqROXHUZCf7XX+mKCZNDRKIxXo6gOnocT6mxUV18q+frz8eXrhMQQ9DbboY\n4nXgy/z6A3W/HSXN0Aq/ev+W8FY07S8iauUoKmxMO2tl2Nz8z4PsH9vOMmK0LyYmLUvbEycTE7cr\nN/DYG2s/cS+Yqxre7pXP2RQntbvALCWuGB7dT/PIf8Yadx0ujz303m+2isD6K3LsrvzrNXv+LZwi\nkkwusudOYxx8RegZ11GcWmJ5KU3n+Wmzdd1d2x7bxZEDTCRWlvedOvWbbXjx7arNKnqX1nG4AAAg\nAElEQVTFnkjmGQBfqXA0VkAolHucT7Mu2wqfDi0qi0i6GMlci+7oOsGagRHMHSRUSetwYahFKal3\nAqo3pTfc96WXODdXeLkVuogJPL8ylfNtV5vrauv1b+TIkOA6Ke15JYcLgJGxvmDo/cWuexK+L/Or\nv0e5C0uXdHmfWJlaeCLjy9fWvhltXOdn41u8+DevliSiTuV4Ja5MLUjMWLNwzf8m3P2y2bNisZ6p\n8vu29kZC34k5kbXxZe9fb6hWD6NUByKueRw5xBnnmmxzsa8Zk+/NhHjpqaGle//+Y8a4iQHtQgAS\niYxzp4vKbp0eZpV7qRx3D+s2h9uKmPEuVudP/TGcNXO/6YnN1+I0U1vKP46zDXLkNMuq5YBQoVBQ\nvzeu1OjHjE9sFXNO9lTXf4XTQIUok13PRbMwTEDbikHU2fpfg6okwg6JTbrurrqpY46ahP94Yx9X\nb3EECKmhKCOL3S95MtYGQIGCdHYUNVD+kRK/S7rqKY01/n/2rjs6iuoLf9t7eu+9F0JCGqRAkN6r\nVBUQFEVFEJWmKOUnCAgiCgpIL9JCM6EnkBASQkmvkN572c3W+f0REpLNBpKQQMD9zuEc8uZ7996Z\nnd03c98t0FOYw04Fg9pT59FLOQrx1rqXlWhEMeJYbpacNnm3AODR30DlH9NgXyTPCO6KbA1YiXyf\n/H0TgF2y+Ro77aC4mXrmNAtxLQ1pD+tu6Yf8uktFrnCIBqxEbJJGTZ9+uiqKZFrYqRqeRqi6C6b3\naMtHIWooueNmfuM9VM1/mqOmTmbq0fKYCwcTGgrrH7A5XHp01BP08zIDiURCWVkdblxJQUEc6/Sh\n35IHa5lJzYeNdFIo18CCbi0fndVdqEdpvAj1jnS0rl+SidAyydUHv4mr8y25xUy2R4zjbueGDb22\nZearxH3s8ffARy0XXACAc8MkTtb+vRCsbduNj+BQ2+ZJvcXwx/LwWPyVdRM/TG5MGcrL0IT18QFY\nVthZWWLUV0gghKJUMzEa6rrF4DccykX3LYcazERVFcI6NBZ7aIXiwjoJpUa/w00M+CinZLt9P9TY\nr+hDCpVEfvxQkqh9/YdDfJ2HZv5fP/4k4B2X5oIMYpHEapv6fDPO0eCv5AJvwKlwysrJSuc7ubDa\n7J0W5dVVG8Gzx3uzFgxdNHPxepd3moLADAzVNL39pAE7Nt2y7u/XB6Ultbh+JQVkMgmqaixMetcd\nVblJRgV7xu1KCdr07cDBtqrykdsAIBLKBD1lsxc+uxiOdSqumB2kBRuGDDJkIKSyELG/Tc/ecx6N\nIUB2AJQL7lPQwDJhQGGND6g+ZkP+wyJEIjDj67MVTniL4Y55OQA2o31vYIfgitlnE3FikitmmbUc\nr0epVIiqe+1M+09Buej2YiT2nznRsh/GqRlIuVWl4pLMCFaIY+TBMy+e+QxsaEqTowR3h4+TGssX\norh8ojDDPf/A/XamtoIYfFLx1Fnrl6x0C2KzGyN4JRKp359bvulHr1AVBrxj06oCEo1OxdQPbfr/\nFrmkn0f29piWx1yrl2SHXRhzz9FZz79ldLlYLEV6eiG7Si/YUKNoyZPOnGdnUIRHzD7D4Ca/aNJo\nFHj4GGlVVtRDW4eHoCH2rY5LxIRUfeL5qYu+HKYaEZ6JQe+03oqTSKRIjxXdt0LPgAYWEYS1q8Ox\n/pQUIh8phA1OeDfRBiNinjevBvn0KPziRwenxg8rHsk/BL3NEKOeT4CA/JsuAPCLMqsJop9q0z1I\nEARqdx2Nn3x33uVXbefbAh04NWQgdMM97F7siEm2DKiRnuB6eRZu/DsQP1x93fb1BigX3V6KlKAp\n73+0xniBrr5K0y+kcdGYGue/vp/Ks7t2vFMJ6ypnftq6g/qd2cj3tR2t7bRZZaV10gsn0hOrjs06\nzOvgD/Ajp4+GfL3UeWBTWg/QWE1q3uK+7js336l8lqL6DMam6nQ1p3gPZKPNolB7bOa63dw9HoOH\nW7FNzTWRnFSErMdlmL+ov+rfstufYteSJZ05x84gE6Haw+x5Cosk2Njr0FOSi2U+/S1a7UuVlNRK\nk25JH8xezR7EYtGhpc1F+I00+PpZgkqloLioBgd+j3ugdu7XHQDkS1d2K/yx/BGApvSn50YU38Dq\nmbpwneaH5boNqJLE4s8kDrTOOGJKj0aRpjD/Vb878PIMqpmRk1hYXawaIb4yPnXD7Z7UqQjG6H81\nA6G+1hjWKritBvkiWU7xDsFXv1uQ7Iw9pVSRgJRQlBBwYfhuVRgbvGo73yb4YklsA6pnP8C+6VV4\n3GCOwdeCsK4Sb1n0e1ehXHR7IaqQRXMdQh7VYsEFAOgZqNBdgkijqq9VxrLaeovbhRbshPjn+C/7\nbq0kk83j+orL1XP7pB0JNwZbYdUuRTBxF/RT12C3CZCg0ShQ12QqvI8kEinKKqrp3PcmfG9oynEW\ny0TV6bGiWO1/N/1ZqnLL7P3JTqz6eiHu3H4MS2ttOLsYAgAcPFRc7u2K5BjDt0PVkzoLSwwtfZy0\npczKWrtNEY305PLy0JO5MeYWWoP19FWoAFCQVy35e3PqeUb6kBieaiodAFz6GKG2tgG3wzJAEI2J\nF/mXHH4dALue2tLtNG7guyF98MHH6jBnAAAL6lRPLHSJwxHtAsReNYB7j7jCozUPGMYvKt7MnfGJ\nFYlMBg1AfVbO4AM/Lf579uWtf/aEzvZggv6VYVi7tQGVH9lhvAkFdDzB9Yos3Dwzgth+Bo1+I3mX\nqnLRfUkwoSrzwRf38BKu6rcVb23K0JvMyaVfMx3qqWum4Bj6eOlY/EN5OMxUOrBldG+HdPUtWhuJ\nIjTtq9h2xmaiTkXxxhgAQRlTzOeL0PItGABOHUwoDxqvP2T4RMvmiFvxTKnLbyrfurJuOF9jMutJ\nevoqsLRqvfbR6VQGDRx7NFYS6vZrrwdXJJ7RKvQfKtZmMp8914hFEkSfkyQ4h1w5tDvxf4k6TlVD\npazKwopo6we2eZviCEhVH11fWG7n2BhBzOMxERjU+NwSfDgjr1/Fj1IoqNRUTXoysLDfxlEUmoxK\njguKsaydkt8T5yX/Nw/6E5sW3JZwwCT9KGz92ADul7pLV8uxjEFZTrxZM1t52elmJgzB1H7Tsm9E\nxJuK+8unPvXo9ykAKyPrUPTdXWzrz4KGnR76HA3C2mooq9L1JOd163/dnP9mylBXOBkWG/toDol+\nX02bql1VKinNDdMPdkn+tVMVWV6WQ4hYZcWFdXXGJhpc+WNFhfW1FCnr1qu0B0BKzgPG2dzsSj9j\nU/VWKyu/XoiiGN0Lv37/SHP8B6YDbex12GKxFFcupOdnZ9bmLVvr6tWST6NRMP1zU5eN9zOP3QqR\nFYyeZtXmrSI1rjpBD64tgy66/Vx1b/3w8y/Lp4/0COIFWDto6D1JryqJvUgkql5Yu5wMitghd0UK\ncvEAQMqzHB0KMq/pn04KLJ7h4Pws+vpxRnl93FXisD1UEuV1JfvNmjhgKmXCB0NN1clkMuIfXh92\n/u9DF63OnzlPBqVHP0Mq2Ar3Dqigg4BM1gHZXbKnoY/KsDY3LgBmgJdKuOdW61kR/Xvk+3RP75hF\n/PCEaTJjNZOGzHQGhcEWqcCgTpacKxh158uTA/B1PP6DaYOvkfO69b9ujkIo3cstkNx/9rip36h9\nYuPg3FymLXVkidfZVSuOWj7sWB/e7oALppdFXz8e6+FlEtBynCAIxFwvu2cE726N7n3gNCfIrH9N\nEJvB1c3Lrk6UXZ90yLp2RklLTt/H2+4c2Dzh9OwvrSYam6nRAKC8rF7218/x12wenb5Ce8RK3h+5\n+hjLKb6/rESPo/Jo8Z/mq7b8qkifji6PauCa7ZJ0xizEtk/pFBt77ebf6KhbOaVPQo0OvGzjhheB\nDo7MKjh4U1Jw7I7z1At6JpLJpabwM0JjicR2YRn/Y8Sxbz5PNPSPH6OhS9WtyWcIs6PZx10SDoXJ\ncxPUfjUeOZ/+cT9fE7WmMec++lyj1aqTfn2yrNYhYXOP3lN8lBYBcJEfF6IWDajquQhdGaGwmw5k\nMoAgKT72krhkv8GjbKn5YnbAB+rVwcFQ/2wuqFqNAX+yhgbvfzbvGDB+77wvtZTbikq8Zijdy0/H\nxBCQHAZKZ9s4aLJaHrR10OGZB+WMFz8U3KKBRbSc05P2yA59dfJP0nadse+Z2uroc8nFhTXS4L9z\nU3Hk61PdqSsz4MPJn6xRH2FgbEoDAIIgXM8fCwnI3MzeZlw5vqBpHgU0WF88e+HE3RNsht9VNoUK\nUkmsYaLd4+AYCug+AAi3wh8IFOL20zkmgiq6wiR5giAgKlZnW8Vuqjn58ZYdGv5xfmo64FWkaFDr\nowcddiyfUYVX5PozgDsMJO4AYNRROS4p2yKRggMAoAr4ujR2h2lT5Yzj8Wiqh4+xmrwAdQ02xbRv\naRAScLMrNneUw4HuvQLc8zGAR6utgQQcL/bHijRFNneHPazYmlxiGmElX/e84WpE1ZC7c9O6U1fT\nfyr8yPOZgZ7qgkePwPH0bF5wAYDMZEJl2YdeYclHvph4Z03p8+R0lz1KzmvX/7o5SvfyizjR7A3W\nXwRqGis4Bo+hbK3t234WDJCsynpV9ug1DID0T687f4RsnCazeEBvyNfKdMs4fPtpukdVd+jKpV/X\nCJwjm2Zg/Cxgi0QiYcw0K8OdGQcD8Pf471rOI4MC07JpJ3BmWgoAtNiJJRTpynjQcLWuVujE5TFa\n/frevvGkTBIz5E8Amja5X6bgME4CgM5b5vpj6lYLSCSFtxQY2nX8nrCnGPHcZJwepwYzZxLIpET8\nk5yFmxqG8NIToVZYjISHJvA9z2jtCu+SrvY4rlfcz0bsPKjDmzfVkcxo3FJuiEuso51I2KMvfT8G\nQG136QIaq64JbTiGdACSkhKwXF3bkEg0Gqp9GAa4g+CX0aXkdIrzuvW/bo5CKN3LT8ES6dbV1ZQI\nAbTpE1tbKRJxJIb8V20TBTQ45K54gNyOf6CdQZ3zSR/P/sYKw6ANbeiOz/WzdgB2t/8+smPNFMsJ\nc00H29jrsKXSxm43tw9R/nBomFGK19Tb9FUhP56eWF0tIFRVWa0eOgiCQH4y8hR2mn8JlCCBmYWw\npQFYbdUyLzUWf2XnI2aGCQZUDsAyPno4dcOhflSFxhbjBVdifp9MNTd2FwrLCwxuqV4cUvCzooW+\neyASN7yQ0+ny/Uoo0f1QupefjvWVfIK7l6dnOLrqt6nvF3uJKHbDHA0AGq/KnlfBodUZGkmlQsgX\nzQAAqZBKheKeqR3WRQMbVmcunDgVtjeGYfVkDB9lmeoxS284EK71Lyv7TeC4xv31+ODWmUkfr3Jy\nbNlA4fyxzHzu9aUKXdLycrI4wXrwPR/IUiEx6u+5koyz5+5vsc3Ral4aLo30xudW8oUg3PCBaSQ2\nf2AEz5Pyc7pyXh3h6MEVs25tj8Et0ABEPj3WI1sGFNDAiqp+TEyWmVJ1dSHKywPdqHV5R0Ikguod\nYcHz5HSXPUpOr9D/0pxq5DKi+pyZX+YpIpMEErHmHeqDdzIW3yGDonQvdxcn74LThhPq8f8bO8vS\nmMGgQSgU48yR5PTK81P3qLxGmx/ofgc174QhZCqJUn7PJKxv9pZuif5UTRt/8Obl9TaDR1i3KqJP\nEASeJNdFmz7jv5Qu64o5KYjGk67Y+CZzaGABB1cv2FL0ywpzH74phQZabqoopebKwL/tGlxZL5KT\n4b40aPDiqpXu3kZqJBIJVVV5xIEdk3jUfT8t0YFTg/w8GpjTFdW8JYMCBniqcvJf+/XpTo7vxUFr\nbmr8rUtbOM6u/lY4mUSng6ajAwCQCQSo+Xlv1KSoj7cCsOgtNr8OTqjlRnq+f/VkkommIVFZX61/\njZk0PPErpXtZbiyLEs698vHlbSqfznKl0Rp338pKSjz/XrdYe86F7ec6KEchlO7lFnDIW55at6Fo\n9bqwzxw1DAn98lxSgWHUurOmsOvRCkPPQ0bgvCkzv6QPtnd0YQNA9pOKycd+nh5hFrK/TU3jzkKb\ncODfOU7aq6GVt7Cvp5EqAAgEIhzeHR9HnFuws7PykjV+M2YPujbNwIhnX8uvL8yOVLvqlvBXj/Qm\nfVOgB9cGXNl3GFeQIkVj1QWDxkPPdfFm0ILVfOZVjPfwMW0OxFJTY5E++dbDa2PpqgU6F85sk58j\nAr/dYhcSCHqk0EhvgZnUv27W394bTt/7xlhiQ7erObtFm2FpSWKSNFSI5Lzb70Z9dVq++cZ/Dbcs\n9jgXrTGbx/XxaN7WqZhc7HNg7Zfk2aFbdr1O23obbg47M0fl809cSeRnHiqajg5VtnDUmOioA0me\nZbO7vOWndC/LjXGh188l8kQkgIdPHVTmr8ueFL2tDjO+5owwt9Fo/pxMzTXo839gBv6avWK+Q/LG\n8K7qStXZYcu1LhpBJThPTn1kuf2mb4oHj65uWpQtumf6cN91M2jqAdDrqM1ZuvvNfb65t2jwGFed\np2POudlVgUdWfxwszrBJ13TLH0tSqywtfqCRZp3y/W36sx63Hb4e/yWOtG/IaL/BbSOfKRQyrJy4\nvriAUPl5KjBMLEHiGB04tnoaq8QTKRXsVLTv3u0Wm7uDE6m31zbXq8iTJVIx5CSJrwzM/iyWDEqH\n5FBA95mcsCUSCcgBANxq5sQBsFI0pztsflM4BQPrp7N8BraKo6AZ6FIlY1wmllxOimnRe7k77Onq\nvF7BodiberZccJvAsLViljmkjUU4Ml4gR+lefhM5vIER48xtnNt8RuqabJJhYII5krG7s7oaUE3O\nnzT9+xkLrILMLDQYBKHnHnEzsfzmftkuk1s/H1bvos0q44LntFhwAQDGpmp0La+IkYNW06jmlpp0\ngIfa2obAvzZPduQd3LlUDWYdkv1f5BCqJX5ksp6CKQCFLZLIFLiKXTErJRKbbepRPNQMA9UBIBcR\n1TmIvDEAy472tM0vy9k34rPF1C/GTmJYBjIaANSWlNjt3fzFtZkn165iQrVX2vymcCqQQRf04ai0\naesFgDnYV+OK/WbjGUm7glvO6QZ7ujrvtXPENFF9e/0d65lVeR2UoxBK93IvBoNFord3jM4kt3vs\neUj3mzfj6+/6jGgq2UgikTBgoLkmiZz1UfTd698biwZ1WqYMUhha0e3lxzPSShAw2Jptbvns4ZrH\nY+LT5e791+V9OVvtxumIrpxDS1Qgg17k+us76o6Fo8oLpRXcsIUnzGRBLyv2tUP40O1m0qOC2Q6u\nuiz5Y3lp4hSDdub5YsmFRJzcfxXfjCSBTNaGw78DsEy1h819aZw3W+lJ+3LcZLq5WfN9TdPRoZJX\nfTj0VM6qhzOit8e/TvtehKuGmxxKvYUfNJhRqKSC6lKTMN2TgwoWv26zmsGEuhR8ocKEBFltHcFs\nYFe/apt6M8j38+IIqdSdRGkdZCpMTOY7xlhHvYxspXu5F3OKo0xK62obwOW1zmKSSKTIi1Ers+6C\nu9CmL2uQfI1kAPD1N9WIcr0+GzGDKjprMwkkX4mQ0qZ3Wk52RZv2d0Bj2z8rZ94A3GiTxNGpa5bH\nC9HR+vDvRV/NsTRnsRwhkUgRevrviZm/VN0xKJ54sqNyeiPHtWQl/t32RYb+z3wndQ02CWgMcDt3\nNDNfdm5eOJ4TCeyISZGOmNT0w6D6qmx+GQ7fjWXTcsFtAoXLhczVOAjRCpvi9orzumq/w6twheVs\nhk8fVc7TsfzbsUGxq05HuudMONwbbGZDEyq3BOXiiYSWfNES4ckb2ZMer2+Kpn8pXVKISLd1f3eu\n4VZo+D6eTdYkLLv1PF4VZ3zoV7fPrNvlxfxqmgOZ1fjcK87KETO2Rl3vW/mjIV6ceaB0L7+JHNOk\nrzL2bfq030erHFxotMYnLoIgsH9bSgb7zuJtAPgdkdPyb7qKUGEZPhKJBIp2cUlXbCaBjCdJ9cYE\nQYyW/0K3BwpL0IDGVJIuXzPGlD/mzPzErTnIjUqlYOQUK90j5aecpT+PWdsUaFaBDHqxx5aRRt5l\nH0glhDTzLu1unwd/36GA3is+5/b+Ng7b/NOWT2Y5WHqLBzA5ZFbBI3aFMGLwduuaEcW91eaucgQq\nQgNFrk8AEHHFAii+V3rMno5yxOCTsifWL+f59GnlTWAMcFdNnHzass9mcYqCgMfXYrN36KBfLm7Z\nM587b0ofiqoKiRCLIThzrVjzPH8TDazkl9V11XwLJWtS/VLW+HccqFqalAs371TLgn9lzL64aWuL\na9DrPkNFHFUYY9z+eXPDHx76qMJLpoUGkUj9tuza2Mfro6C4iM9/x738SHWzab32AxujnPf5JqLB\nr9ucbgUXehLS4Z1bNxR/5GvZl+pKoYCS+UicoBW6PsJQat+lYh15aeIMAG1K9hQV1Ehq4syTumpr\nQ/D03/brHTF/d66TE5NJA0EQKCmsq8nLqeQYmai38tHIZDI8jhMndLivoALkIZrt1k+lbekhAIGj\n9cy3Hv6qr1fhL/fLkMKQzF2y9eslfT3pjMbMqKoqwTu7v5sVYXrh0Be9uaE7GRS4Rh85jWicBgCT\nxi+7/IL7VoAdW3tPUlE5lqqh3rqQiEQCSlxxl+/LnkY4+2crekB/xZHoAfZWdzdvM/LF0rxXbJZC\nGIjdamfttFhw9vbq4Q02HGtSSV3lmPDP4jRg9eBlZQtQScmeLlyhMmdGc2NtVpCvqrSvw7SjtctK\nZoZvlX/j7/VQg5l4zKOVV/Co4wtqR/DGupdrSbmB/OnLFr87Qc3R3MaUmRR7qiH8zN4YreBf97Ch\nKemonN7O4UCnn8PV02G4ijCgsR/fUw6/vTnP00W6ND/igsthn1HvPuvuIxJKcPiXnAf2eZvY6OLn\nZVU/JbJ+S+DmTdfXDtQ1ZrpXCyoek299cu3ovf0TPvyB6aem1liVSSKRYv8vKWnaIT9FdlS2or+p\nYHAZTKrClyMOj06mkcgOAPjl3lvHLvvK3bPJUwA0pt68/42J7x8J/5vhkLWqpRuoV98LbzNnfML6\nO0f+tyaW/MNsDzKzcTuFkEoh2Hwkbfy1pdG90WYA0JHYG+SLJDIAbUJdZTIJOdU/42vfcPz2qux5\nEYcJVbwbty0TcchswRE8Z06HdN0zP/UeZ+ooG/lxiroaWexhNAzhiO2q7DeU8/a5l+vfXfbFJ2ts\n3ZvcmR5+ekxXb22/reQ5xRZngv/XnbreJo5R7bCUR788eZKRcHm2kTnPRSwT1KTFSGOMr23fSwLZ\n6mV0caAD+4fb4/EQdhpPOeKL/hEbC+eOtXJjDKHy+A1P4iTJGmHfHtInbARo/LJ36Tz04IqkxKI6\nbz/TNoFG92OyIdYRilGAFCPvigU0moE8BTr6XLLGgDgTZEH+CbzXf4ZvI4cGVsrEU198erZw3bti\nTz13moylIk3Kjn7nxqwDqjAWABD2NpsBpDiIxqVEh22KZ9pZu8mTJbm5oC8b53oldQPpneJvn+e+\n7XXn1VlOiVFBJZnDgSJItCiMFvxefR7dzFGIN9K9HM/93XD8WFUH+f1DGo0CV3+u75MzKQwt2Alf\nk3m9HralH+fi6MfrANjRgJSmNnrFzEg18fhNK0wdGM4kEkHKThYlkM4sumbA73hEMx/llCyHDYG6\nvtnvSkSEJPeOZpjb/QNnKfdpKWihqztQXy2pjI/L13Z2MWwey8muAJ1OhamT1BQPARCkdivuymTo\nkTZzSnQNXOhJZkb+egiROIT2m1/0KlBAg9557C40+Xc7b9gwGolEAiGToS4sDHRLSzBtbdiFblf8\nEILkF0t7c6H1RDMzL69ATDMyaLtfU1DdK9zrvQVvpHtZxilzNbdWVehaNDDhacWjqK8W7Cq7Q9d/\nhVOJx0zVebtXz/jCVafFw4zlUZ0D/Ut/0Vuu3Zg43zwn1elbPyO/fC+eJolXnsojKu7anDDImZVa\nMXXBF19+a+3G5TWWsC7Iqxl9YO2c61ZXDqZ393lwpAZVTAYVl/9NBJ1OhVgihZYWF75+lri9P58B\nwC73tnaecIEYDEbr34L8nBpZVZjHE4MOtLcTQ0DKwg2NavUYQzWppZ1xzZhTDKhIu2Lzf5nzUOUf\nk0zXZHeVKg0Dp6QBB/SlfWpfpz3dxRmZvLx2b8qa3FryZQsShQJCKgW7Xz9QNTRASKXgVfBU8Ipa\nVb4ujn/ex9z9u1cnU79/36VlUQnhw+R6i1C9GHRDZPQbxnm73MucCpei+Nhz8wcEmbTJP3ycWpWn\nBbsYABL5eT1lz5vKqUcJLd1zkbO6kUyvqLLAZM2CQB1578GUj0211sWv7Kd99XRzmbjUIZMHzF1l\n8oGegWVzikfc/aSFh3eOj/jxOz83OuPZbWVgpEKZ/o0k4ED81hi7osXdeh6P75GCh7/H7DNkuGOr\nVJOwy1mV4uiBuwCUGMR+m7Fj3XyjBV+5+jelXhUX1UgObSgKs83/34kX6UoJmOGq4VQ63cGMo+/l\nY06m0h4hLDTYOfES72+HqL0XO2vzf5EjhThl/5gl31LnDhnOdJrJrpDJEHI13Ip1+Ojud2//dKY3\n2txZDjmzMozz6bsWJFrrhzv+tfBS1weef6GxHecrs6ejnAe6p8wfjnowi7DUtkaDuIFzu+bJO9dn\nH9KAlagzckggI+jY6GNXxL9/CXdTD5Iqh01JrijmRNTsD0z/8WpPn0cv5SjEG+lethKPrYoKPhnb\nb4B4UMs3mMoKvjT+huSyHfT+0zVWO4Iko/W2tjPjflg5y9qYyaShvs4a16+kwMPTFHr6z55lKBQy\nTOxpFnj6talABstzFGOsnoFKq4XOpa++2kPv3P4tF9wmmJhp0FW9Ez1wtjEKt7vQ59G+0D3rJpoF\nTFCb3H+QkZpIJMWV8xnZiQftztvxZ5cAgAqMJNTDB7/a8uB/83R9E/QlYkKaG6V2q2/qgaKn5QXb\nRYbrtwHDP2LOlsoMGJ7ez8pvT5zhZG7jUPjl8cXf5vTJ3fCyHRDfehz3+moi6x4Da4YAACAASURB\nVLsPxlPUVMkAQCKTwRkSqF3Hoi3b7blqCqeSU6VyV7R/dNLqlyo68Dox5t9P/zyvsrcP7YuxLlQd\nbQpBEGi4caeafTDtDzvx3KoXS3j1uGn4q3XO17xFnJFzmivJEdPFDqfW/sabc2jjl52N7DeWevHn\nnPBa23CimlyHQppWY836Xr9F8KrxRrqXAcDo4l+p20UfCe0CJX30TZmqOYkyQdot+nWb28dv4y13\n5XQHx3h0wvKpH9o3d1jncBkYNdYFl87HY8Ro51YTBaVsKvfpNS3V+3fyzIGm+gr0wdJGk1db2wCe\nXDEPAKA2aBigB+4Fu9BTYamXMylXHbZSCBFDaJm+/Y4VdPq11MWGJhySNomRhGMAoNtBXUbe5SMq\nKusYg4e0KbYFZzd91TCvrNnIVbhX12s+597AkfU18qE/XXBbgjPAl1bLr7OmDR2KqgfJ9ldX79g3\nOOnTu73B5s5yNGCF2cfX3rl+d3tYuTPfllIjbhgaMalGTzKzZc3rXmVzQf+q+cyRI1uVbiXRaGAv\nmNw/PPyPaQNzFj1QNO9FuphQxdOynb3mXF8D5+1yLwMAFQyYX9m3p/xKETUOMVwLDNa3ap3g3W26\n3jbOPe4G8zmj1C0V8KGrp4LKinqoazRGIj5OrxDlxHBOaD+dK5YI79VUNwSx2fQ2r4k1VUIBmUzi\nyo8XFdRIShM0Q7R76FzVCEuoJe5oOSbuihz5MTUzPo1GpaC9gh+qxnwyemnRht7EEakTXopqlpJI\nJDSV2WO42XOzRz4cIE0S779stN61wYDQkNRVG49O+v4aE6pNAW+96rzk/yaBjKCsL1KQ1TzUXjBY\nt9gjhTjlksEqdwGnTuOd9C/vq8PihXKSmReK7w66OpOw1TETq5Jd2nTUAEAz0KPk9M3TQk6ruV2x\nuavz3haOQryR7uWW4EJPYovRVWjsiKNEByBkFquqqjEV1vPmcBioqxNCVY2FqFs5FeF7WFfdM3c2\nvX3AoWxx0tXzU5Jmzndp9TpMEATS7gvuPEmOU/9wsZsHjd54a1VVCYh9W5JD7PLOP+zRk+oB1JWj\niqEq1ZHJZCAr6DhSlCMqfm09H98gkNJLHwNwlx+XVFSgZZoJydrAas+MpdtY743xYFiaM6RV1VMP\nHduebHVMfW1g7qev0uRej7uGh2wSZmZ/zRw12oGipkoJvnq9jHzp15Ozr2z9q705KSqXdSOXpq3h\nTl9kSSKRUBMaqpBHSKUgVzfUddSWMN3tloU+1R8ILGkMlNRU6N/iBg/LWv6oC6f1n8Ab615WcrrO\ncStbJYm+8UXB6GkqBvKT7odXZqdfU4skk0uh8mjebStxf0c8/QxTdXbYssyKh5Vdp+QfIydqTZhl\nq09nUFFVKcA/f2amUU8sP8sWmvF/ido9X8f7MVUihjQvSjvOLvnsLTIovfZ6tDeWF2Jf6rW5yCrs\nehp54ODWt3FYaHY5+fL7Ma/SntfBqUAG64bPoSFiK7YeN5vBs4q1PWhXP6y4nTkK5QwIGREZ0Sek\nP/vdYc33GyGRoPbaNahNnNhMFCYl0zW++7R/09svRU2VpPLRDIeshmPfE7/KrpLa1p947denpzkR\nersdKlxFo/icmmLtGG5cYO4nD+pQRE9/r3oRb+409SYee8wgLbG7w9yQws0YlrDktiLZyQOT5/Nm\njGv2cJFoNEhra0HhtS5rLfg3vGLYzblx6MA23S2LPc7Zy7XnMweOUm96fCq9nzgo5Mcth4bFfSmf\nktdrrusr4Lx97mUl59kYH+XUIjzIN0VArVzwQ6t58X3nGZn7VY3R0KXqZWSUSJ5kqEvMrTSb74HU\nhDJ+ejhrn+P9Py60mFZdg7yMincXrJ05z8rP1FyDIRbZIiQ4LW/Fgttn9LS1auoTLQUWqX/tVX/q\nBuTGrf4NcY26W4SXE91xrq+SY5Lwze9Htk5OMfOQjL5wNk5HS5sLgCRNul+VkPOv1e9OtWPvASjs\nTTZ3JydS9y9B0kcV3/OmT7ciU6moJwhEhd8xTty5ctPEe2uvdlSOdW1gSun2jJzUlL/eI2y07SRS\ngQlZW42pOmoUmtJLZBIJKLraUvmuLgBAmxpocev4zhr/kk971fXpKkcKccox/6+nCX10BpF5PD1Z\neaWb6q2G4BbXtDHie9SSZfTF48fRzUzpJACFhUUD927+PIRZTEqjzlyoLi+XZqhHKxwscEICWr7t\nNuuvdifzWuZZcgMDUXP+POg2NmDZ24MQiyE4d6OUeyJ3qx4xV37RUHhe6ROKvuAOnNbKFkZfR27+\npPQgUVz9j3RwetW1f8UchXjj3cv/ZeRSbnNkkzYtceqn6mOjTWU8SfkjK/UG77RD1L4L8txMt28C\nZ69nTbO0Nn76QGqPG9fSpKHn07J1tNVqy4vEJeWhXvcdHy9rM7dw2KIFX63uO7gpMplGp2L0ZAcj\nmQyy/OWrppvCyQx4+wpNkEGBbcjp3/NCovffM/jLRVTFrrXjz2bpo+89p9dt3CtA8uishSqz5zQ1\nfweJRAI7wFezKr9kft29opvcTuzo+BbPy/Y9iB8AIEb/+Mi4+TmzQSJZAoCkopKo3X3sEc3dzgxA\nm/x7qo42tVqlRBslL31KvQKHhi/7lLZmxiyupkbTE4a+YEiGy4kfv2VNidxwHgDOWa/yY3w1ZQLN\nyKD5N5qmr0clr5w7snrtTg0NhuJur4Q6p81i/Oxg6+8oiUyG6tixaMjIQNnCVbdVqjSixt5dnKIO\niw5tBSXgmCaln62DomPMIB+rmC37bfpXLey1dbNfF5SL7hsKKcSgzN6w4fPlHr5N+43eA+CS7ldq\ndXjl/Aan+7ubq8CIwSeZDc0bZGlt3apO28AgG4qoPo2WvPjzhUbw5Ku33QoAAFh70DwVpQING2dt\n8v2pH0fpxB5P6N6z610wgiffqMCzKZ1FcXH7twx8lFNJLsbOio6xRwdZ/Ltvvf/kx9sLuiK7X+HU\nTPM1KbNDQ38fK9JlausmafLHpn+9/5j67l0A2pRTFETGVHhnD33povzPwzW9TbYFdnm+lBpp9dj7\nq9M50HnxpC6ghJTElo12Hk59tuACAOg2VpzagPsTpJHi8xTQUO1D9We3WHCbQFFTJcmoMp60uoag\nqKq0ifAj5Ve2+5nQH1ZkEDMII/nAQElmbsmQKx+sspINrkUn7m8aOFJCVCdVdIwQi2RUKV2ZTqcA\nbaNDlHgj8MjiS88Js236yQf4WNtqs838K8a2HEvGWU07N44hFMDLz8ggx/jPvs/TxeJQFFb/YjBo\nYKlKVTppeq9FLvOqVuboCZ+Vz5vyXeKgCfNKSUntdZt76yGDmAQKWWEiM4lKhZQqUfyq1UFowU44\nI2rbidnBP/02NH3ZHQ60ZKo3608Jk9PqW/KkNbUEcSb6qqm4f4/kuvJRTjk0ZvlHBX86/cnY8/kn\n5IMLl/+z5tj6cy4/9O8JfQ+Nzjky+3voKjpGcTI3z0BIY0AxndJukixTx6S0YdfZNIJoXeG0IfZR\nlU44vd1ceL9LI/+p/f1gokz4rEKu8EECn3ksZf/TBbdTsMXoKll0WryiY8LQyOR+tR9kKjr2X4fy\nTfcNBdOsyNHIxEnhF1NLn2bQ0PJv2NZXll0RAGjzQ1lWUi+k1Ro/t11cYZYoE0CbQN3UpBI+P9Em\nKtH26wFs28eDKvKoBdb3N11QgVEnz+b1I7HPQv+BCxpW+b3jok4ikSCRSHHuyLq8+N0uSxwLv/7P\n/XhwoSdGckEShsFP/hg/5GbeqLSFNwCYdafOSdHrQk6tXiGp9o8eS9LVtCTq64upkQW3Zl5fvw/N\nDbZeHnc19xklDUqeAUstU2FNiRatn5MFz6FRPJnJBHvmKP1S2rklJXEJsTpwaniBuE5BvVa/vLik\nTEThcttkURHl1fWacBUAACO26oG0tnaUfJATIRKBFl+eGHh39qkrgj/HoJ+FG4nHYVDu5xdwb9ft\nHZnyQ0x7uo2FHtVjNjMXhEb/Pllqr2mFKn6dy5U+8X0rN4V09XxMg1V+zzI4Z8idONKURKGAIAjw\nQ28WaZ8T7XpR8ZnXice4ypNCpGWM/uQWKWmvBMpF9w0Fv4RVUFUlIJpa5rVEbZWksuVqbAB3QXy4\nODlgKOEj71oK+zcvrl/VDkV1kZtRdM3u6B3vHBcff5Nmn5tAIMKpfel3baezv5r0nr0zj+cEfr0Q\nZ458Niln97R9JhWTOxxY0BINqCYnunw6VMOswbwyn1poH7szjYX2t6m6Aw2oJtuPKV3gP8SpWRGV\nSsGE2TZGZcVRC/EHlvSoAb0URv9y9uXbXrfgjBjU7CURJqXVM89lH+nuxagJE++vu4r7uIoeanjw\nSDvYJGm58CPOmI9MAIADQFxcjJqQEKgMG9a4aMTEQKZKNzn93u6d6rGkfyYkbAihtd1q7hDOOX7n\nW+5PGkvoquihvK7C8Ao3Tnj+cTzjc7NWKVQEQYCISr+nhflCABj7YPWFwz+vDeQtn+9Hfrp/S0gk\nqNm679748IXHtGBnPueAx4qyAymMWhTRzDHDCB24Xjpwaph1a/tB3GoeeqntkqCcxckZK66+//Di\n4UV1tqCSimoq+tzod8KN/13Jy8ruCSRxLmjcmXTrK7KfgwdFR4t36/6fj1nXi89MC9/0z6uyQZky\n9IZyXBN23Tl/6P0nsz51sGh5oKqCL8u6ppdkLTePffKH5F2cr1UmzDW109HjUaqrBcS5v4pKq4/O\nPqnafmoAAPg6ZKyLjFjx1+/xg8OH6hjTrYUiYdnjSHa8moWm+Qef2jXv+7E5DMz40NVub9HlRfh7\ncn5nz7Wc/mgIdd7a776ZZ2mlqsoi8euFOLNncVn2oeGbTcun5nZUTmc5aTo7nRcNN23TCxQAbF1V\n3dLwuI86LBrk5/WUPb2FMyRzaWTK8itbHoYcHCox52lz8qgsgxj26QH5G5Pwhhawzwh4MoczZoxJ\nyzGari7EWloQFReDHxEBrp8fOJ6ewLBhLpKKSueja38YNSP4h/sU0NuVq2jsjtWR92vWeftynG2b\nV+zyMbk+7BVnQ/nk45mMWcMsKGqqJHFugUS8NyR51PE55/D0urKhiZmHVv8VkrYtX+qs49PAFlQx\n79dkTI347KIKDM2bdGnBDlqNX98euYYlSGLdstzzaY1aRY191oDr3uVz0+U5VrLBsLo9uAi3Efl0\nSEOASu2HemdmVLBzn/R//H60GkyFPWVjRzkEZL7RU2MCuMvnOza/fDja24gH5CwOXfyLytD4LyK6\n0R5lytDbxqGBlZJxou/yfbKoZUGjTV209TjU6Nt5pRHnq0Mso//ZBrk3BVWpBaR7j+zccvsTP65p\nlm19ETvfJX5XlknbKl4K7TErmJeCA/POSwA7CpAiRbCa+4JghftH3uNoOgeO/8z3ECzN6cy5yqZu\n/GLuEifrpr/ZHAZmfGautZc4NgHbp37cUTmd5dQx07XpdG2FZadoTBBVyMlQh0Wd/Lyesqc3cexq\n30mxu/hO2NO/Fb19PleOCPXkPNzJN4ZvHQ1s4jnzXsl51fahchW9s7Lc3VG+Zw/Uxo0DVUureZyq\noU4irZnm9W/mpoRRCSs6rEsKMdLGF5qznL1bqaNaGFPrJpo7jfjaf0b41f0BFBU1V0aRMHzU4zVR\n8ul+LKhjfPT3iYju2cpW7XH2+M9dJBqgP403YgKdo6+PtLS0AQ+Ofpr47sGlW9UJs3blnPRYMaR6\ngvaHnFFB5qD64PTlkNHMs+lHp9/8+bVWb7tp8psbbd5w2zYtYc1N6PlDIvoiHnu62R6FULqX32DY\n53+dId0mnv/3gT9HV2tHinQyZtyxkQ2vaY9PAQ0eabtvIa3ZudRl908Vsjhq6kyFPjcNLSa9gZmv\nDgHkF912kYFQFf9AhkJ7+g8xcNm3d4O5R923T7pq7/PgkLM6KvzKt1mjJ9uZyR9Le1SbZI7ADlfn\nUaIRfJRTToz88VOSj1WQzEidK8vaWcQILwiddv2n/Z0tpN+tkMgUN0MRi0Gi01stuE2g8Hio8aI7\nohMx+vE4ok3ysjRWdIwZ6G16V/+Qy5SEraEAsgGkJJBPaOSo3jd2rByZadp2G/2V45TL10GSYVaz\nNKdObY7UZNrYkBirvnA6X/37vNnBPy1SNC9K5S/DuoX2S3kBvhpNY9zR7xiIbM0/Cs/8fYd/7sfd\nvmXQUVQaVRrTdHUUr3k6PIXBbT0BpXv5DedQQIND5UJtVC6MBGDw9F+P2+OO+aT4Ox/m2TromslP\nuHu5urJv5UYpnl/oXW6M0FRTZ7IUcKChyWLQafQ+aAwE6/brqgYzJJ0wvmZlXT7Lvo9msw8x7GJh\nXcmZwOvcXlqw/kUcASopBYhRM0A/R7l98R63J3jEL3OYG+cPIjOfNr/wg4pkWLll8NKfdCfcXlnW\nnbo6w1GLkFQLZ7ZNm6m9dEWIepEMgMJ7kCFia6MT97MhPNlxZQ8UBuhIK6rEJjUeagDs6lAccGbS\njk9kIx2dqNajeTfvp1Won4zOGx6+cBMNLEJe7nP0dyun2kY8k9WnT5vsFhKZDImfmXtNcL6LCgxF\n8vNyvAumsfxnaMjPo9tYccr7pYxDLuSjnV/Zd8Uo21I1o7yCoGpqtPFqUQtFfCjeMlG6l5Wc3sGh\ngYWkm+SDGX5lX1rZaDXn/+ZmVwlTLnMvWUJT0XtBu7JN4U9KiD6Y4+Cq2yZK+u6t/Gyjyo8uAhC1\nnNMd59H0H8v7G1POLvq18MaQMFcVTYp6cY6oEJdnxVhUT7je3bp6miOFOOXwkGXzxQPN3qHaWxgQ\nj0/Wym4na044/dnPajATd1ROVzlJtLPFwgk2ruymBfcpqNqalMoh7L6i2/U/vK5KRT7Xh24/t2XP\nR9wF77pRuFwQBIGGm3drVP4p2CLj8wnptOrvKWqqrX6UZQ0NYCSW3+mMLm3YgxTxTwLe8faQJ4hC\nI+Nc6ldcBoAzU3Ysoq97z6upMhdtpL4GfyBf4/A3ywe/f3Hrr9157p3hNLD4THV9hc3EQDbSpmQh\nrMAF0+UfnlL4xoSE3U6DEL6RVNCdNnaW454/+VDckXX6Kovec2k5Li4uEdNiis614Cvdy0r0TjhE\nHgg++M1H1aaeGdPVTSTsqlJRWVaEaohz7N6szsqigU1khppcTfcvnWFtq93sts7NrhI9+Fd21r5t\nU+1uh3XBohT8vegsAJg2DvW66MuO4PCQrz+krZ81j6mu1vhL7uzIIEb4TzxF3c6ce2LLdz2tP9kw\nzInRd7amomMUezPDQsSqmMK/p81QCF2pY/20nZ99fD56wxiBvYoNUVFf53t9+CMbwYZbDagmH9y4\n2p+3Yl5QUyMGmVCI2o1/RY69v+pKZ3X5nAk8dEPrAJP73ngnCo8HWUMDBIcu5ZqfVt9KAQ2RvN+N\niYnuziS5XHsymw2Zv3lA3cWi37mvqTc4vZ6eJoiPt+b2b5uuLIlLq7LBJxWK5pHTy3IJsRgkWtst\nBEpmdWn3W9pxUEAnnA6bf5co3PsVdYhXX5q+DrMhIjaXGppxaUbElpOvyg6le1nJeSmO86M/ivAI\nUVIgkgfAueNy2oxZPtggPv3F+l06gSkBavrQqClBVfllrzL7zK0xeEGE9cuex9vCkUDYn/A1H0Fp\nWnCfgkSjgTbK2//x2TBfC1GAooeJDumSQYoW+ZcKOfbFQZmxmTkNlL7ObRsrZ5fW6WKQM4CWxS5e\n6TXkQg/T7m1Lwj0kteCUMqGK946v3x95/xCtIKCGQZBJZM69+lS9MqvCS1MPrOJbkghSqaBGL5wZ\nMTj1c0W/na10WdX525hsdd94NeTXAfWmUn12gax8fNznQgZUAMCuVq3Si+7gpzAugmKkp1uDPDcu\n9Go7c+6Renttc30KfWRsGs3wrjrhlTF1HwMq0nbmtCunX9igiEjzqEEsFxdWy1xhUU4O1P/l5zOh\nKh/t7wsAY8KXPji770Q2e/5E05YHBedvlgZdG6sojeiVfle8S9+P9P4dO5P2nteT0gsHmNaOPffU\nTd7dPdiV7mUlp1dy2oxZpi1PQRoOS9GYQ8npQsTsf5lTjEcqhI3ubAUc0PvY8+4Z72JZZAZ0Oor0\nvNMP3tUDmP2FVuzxEIgE5NjcexPPLg1RgWEbOQ6CUSl3/v3mLt3NKaDl3ikhFoOISAljQu1Wk+wG\nVJOvOP0aVBZAvA8yiUy9Xxw3OmLJcbXGuhuv/BrSwUFg+oLdSG/8+2S/FUNztpl8zXRxUGmqLFM0\nNcfx3Mr/nRwT9c0LddHBSRmR/E0SnuUINN/PmpUG1cVxqXOY3m4cyEGaVVCohqD7AJoWzBfq2j90\ncQD5ixGzGDaBTAqA/Lo6HNj2I2vs3veWtMir7tD1cS0fl5J/LqnsSfFvKyiWBsZUfX0ypFKQeTxg\nfaDd39s+H/x+yLYd8vPUYAr7v7Q+Tyzds5DsYOIuY5AIJBckGYdw9xo1uEk6qr+nOQ7C0SkQoqiH\ndSmE0r2shBJvETRgXS/LvVsOL7T5IRelP66zLHdIh4KmAs/DJbsN7hXL7X9geblrNEWZEVOlFmeY\nv1nPPLbmQ0XRyP2PBKy9TfqTzBjj349mbc4UPkqskZyNvD3+zCdbAFgAjTXBD05euY678sN3OFwu\nAEAmFA76Z9MOrxn7vt3FhkIPdbdDiBrK8YEr50o8DfqBSWOwHtWXWdwy3uZRPjOvejDvXZ6LQ6tS\np3RzE2bF6KSgqqis31rskXcaHnXvFyafWvmI8HD2JVGf/RRLa2oIanj2dTY0FdY1VoR43hlD0vzA\naQwby2bvAoXLhcrXH3r9m79zznuhv+zsrH0j0pffP6j/2Tna8qmLSHQ6WjxA0WWfDp8aGrc2bGjB\nyjZlIL3KP8jz2ovlQtQ4ClGTqgKjJhf5G7ld091QupeVnNfFed3630oOC+penKtlibJRDSbkFoFM\nBEGAdDI2pX/VD+zO6qr0xlyWl3uriFQShQLqguGut2/tnhKQ/0mc/Dy7huGw2zN8V+bR8IJU3X8q\nrYp8Um0EW0rRuOD6AsB16x0+nGXvD6Y8XXABgMxggPfVXJ/I6GPE4MRPdsrL7ajN7Y1V4skgIWq4\nenCtAwAZpAgevn0VffPHVswWnXtSjobYyNb/+RfN3U5h+Un6YA/9+K0XxviVfZr4MvZMOr0k4bR0\nq1j8jrkLxcpQTfbocbH2WWHB0Ds/haETWyp5zvlTmH1GcOVJJCoVZGdTH4TiekfkyP9NcjHxJyvo\naMS0t2FVu92bggKIFc0DAAZUvFq4tjt0Hm8CJ5d5b3is3fnhzBpm1aDHn92lg+OtQI7Svazk9ErO\n69b/VnJGX/ls/7GVa/nkkW6BdFcHTUl6Nl8ccvdO4KnhawHUKprzPF1CK5aGosxamokhOdv5rBry\n27fRku8Pyyf+CnUVDqibzNZQbxPqSmYwUDxAQENi912ff603uBWOks6l9LFyJSCbLL0fnGB8jrVb\ngAq26OsRZnS5hYU1bZhhYsyWPpQangBAmzrJ0spqsUhcHQ8grSv2NOuBOmYE/7A7NziSk4PbGrYY\nU6IFO/POyqnjVRUqOA4AEDMkwhbcTl1DMVsqaHPyT8Hn8Wvk5vaq70F3cxpQTT4y/rtvqe8GDmF6\nvMcR1Nbi4Kkd7zjuNzjhnTNL6V5WQon/KtjQlM45s3VDyoVLv6foHXVwLB5OthZtvN1lgbUNCguu\nyIRCUMpFlV2WKyPaLzTfjSXoY1T+1i/6QmcNd9hAg+bBAd4+eWahxriee4drbKjwd5Dcx9xCdif1\nAQL6B7Yx78K9zMDqZfILbpdhDN96Y/i26rAU7LpmQHkAaTLZQNNGKuBXUKLzoyb9+43CiGbDe9oP\n4v85OZSqrkYDALanJygqKo0ejriCRHl+R0GKK0ghZDJv+QhrcUGRRPWe9E5X5b6JODFw9QfsNfPG\nN0W2U3g88N6fbJOC4Pftfsy62NGtBqV7Wcl5XZzXrf+t59iJR8Aud0TF07Gy58x5rhz1G+LUhndr\n3Cgqrfu3ig9frxofsyIFXSweYhymmVVUWCyl6eu2akcjq6+HQRi34QVyO6zrsW+2OXvoTAP5A5zR\nQ4yqr8a6EgQB+WIZAECrJpG9jg06F8k5ZsL4YJQFhcuFTChEw9GQPN8jvgkU0Hrsty3MenefmhVu\nH3HdnZpcxtqyqULbM4xfrWedXbez5bwcxl21x+OqPlQZPpxG4XJBSCSovXYNVH19EDcSM4eFfHAL\nXayVPTr004iQn84Moy4bp0eiNH5M0po6yDaeuzs2Y30Z/ktZBe4mzalkLcGcOsTo9qnD80YlrbjR\nYljpXlZyXo6T6PSFt6Ff7kRtfY5VfZ3AMzWCHOYQcehoiyAapXv5LeWMil6SevD7b6mUyX4jmN5u\nHFldHepPh6bbH9L9hws9Rf1UO6QrMOuTlL83fWmOZTNG0/R0KAAgrawi6n7ef31C2vr93XVefGuq\nLUfBokoikUDSUClouHFHlzXIV7XlMVlDA/Aw+6ZN7Zfher/YRIZf2f9huV0tnVLALxlxZ/4ZHTiZ\nddWejnAyhxd9xHUf3GqPlsxgAHP697kWtYkIKvqqOQL96pTTP3K+na/X9OBAolKhMnQoKg4ckqjc\nKjmiL3a511V7NAlrDN8zYeX57O1eMhd9e4jEYs0wZA+PW/0bGRTiBXI6dK5vCkesQaG2zYEDyCwW\nKgzKhUhSKKsNlO5lJV6IRLePAycsJ1Y693VRezpkXDmF7/b7d5P1bC6e3fpajVOix0EDm5gTvO2n\n9MvXIqKcN5vQa6jl01O+u8qGpvWLZ7cPCmh4P3jL2puPfsvKDawwA5lEZt2riZkV90MoHRyFXZ+6\nAlJJTSUACNPTIcrOBiGTgengALqREWh15ELNPwofl5EjxrECfDVIJBJE2bli/s5/bqiV0PIPjFy6\ngFYoLh53//twVqJ6l920nQVhqGamaJzhaMcusPrXC0WIBoA6FFHR18xN0rxLrQAAIABJREFU0Zu6\nyuiR1FralS8v1v2YPzJ91b02hA5Cg7BseO/Ktl14Vh7EDoD8gvvWg5RbmYOnkfctIcrMFmmm8h50\nVI7SvazkvJBjPqA20LmvtVrLQXV1NiVgnOao+yHREfpST6cu6OpWG5WcnudYC4JsrKODmtq3WXeH\nLgpoCMr6go6/0bIikE132QzA1yW074O7ZnvGcAf603mDBzeWfoyLQ8W/VwR+VwIeONaNNstaGPFd\nrOehgTIOlWZ1T5+ePE7TVLJv1DqmliZJVl+PU3v3lzkdMdnap2RC9vN0daR4SEdsplbLFO4PSmtr\noV1kQG0xj0amMxQX2OBwQNXX4VR5Fc1GOupexp4ucHpS9mvh2ISYRj3xe9SX4eXanEJGiMWg7YjM\nH5m7RoDWa53SvazkdI3DRznVyA5TFcyDT6CR6hn7jUb6CScVFVtQupeVnF7BSTeLslSdMJ1K1WrM\n+yWRSGC5uoJEpZPzDjwodawbXWAm7J9idqv/HQA4NPX7X9nfzLZrenskczigLxqjdY84MNF52+j5\nirZU/vFaPlzgrT5QYsKeSNTwq6lRebenha6/qaDGdKt5MkgRbL1cu9ZW5kQua6gcErXgrA6cgNgn\nTNmMBnOyXP1q/j+X0sZmzN+PxoeeFC70IEvPT8IweMsrqb97F2x3dwgeX2a20PkqP4uelP3KOQOe\nzEmp/N/agiqftLkiK7YOBKJ68r386CnnvrnSjhyFULqXlXguaGBL6+skfKBtpYLKCoGMqFN7rfVU\nlXi7cc1kq32Of8lkqr6etaS+qpB3u/7ypLiNVzsjg++jPoCjpdmmYw7T0Z5ROCB8GE7gfNNYER4x\nJQNM7OgK3LWMUf5O1w6vdxhS9l1Sy/ET3t+OEq4JWsa0smh649SVTRbYnKSut5h+cd3S9uzKp9xj\nXZl25mvax+PsmXq6VJlQiPNnQybb7Yo9PDl09a6ja9bq0aYHBTCdHTjS2lrU/3Mp1fg4ZaN80Qzt\nq8ShcpdIV3aAb3OHJHFBAQiRCBQeD6TSOvnGBEp0EaPjVkYiDhVovch2quiH0r2s5DyXQwPLJyOS\nnimbIDMmy6UNhJ7IfeKZtb+si7q6zUYl5+3kRJjvd8xfobeAM3CshignB+SaGnvBaHb/M2vXuo2P\nWHn+RXJkkCLa4MisekGhl+zKlca9XHt70E1MmjkMirpuy3lSCFXI6qptQ1QBULU06GQ6yw2NCU3N\ncwQ+mtNYzxZcAI3BNeLJbt7p1676WTcMbvlg2jwvfPj5D1jffdDc8IDMYIA3dazpk/IL8/ttZqbM\nPbH1yKPQk7dKDS+NkjTUPpzYWIhBBrlI5NEJq6vilpwNjfhg9xC6rQWbkEpBUVMDLygIouQMvsVl\n/Yfyc9q7Zt3I6UnZbwJH6V5Wcl6Cc2H+8R0aG36aMsfOQ89AhSoQiHD+RGpmRrDtegfQk9EYVPGf\ndz8pOR3nSCFOuWC+2quqL+HNKWfxjO8b13jVzCloyUkdm7OQbh2gUX3hAhiWlqBqaKAhJYVR5F0/\nPC8i+jcjeD5X176Rn30j9tQbouo3hcQwbay/L3j0CLWZmeANHAhpXR2QWnD76ZwUANCDG4iHt7Lh\n49YmSEwQdrfAoSDoNABBk64qZNFk1mraCq4B6APcmNFWG7WtEwbfkrdRCjH4PmqWPHKbF3BQZgVo\nnb3wreGU1O1XXKsnpaAauYquYcsxl8pxJ4vPZpzNGVe0iB7k6ULmcWj8/edzmdcLDgRk/XRG0Zzn\njCndy93DUQile1mJF8JYOqBeuu/sp9tuL/LTMOL7VdVWpZjf+/m8w0vUnVXi7UEDqsnxOKKjBfs6\ncwS+kC9CPXn/5G/XsxZOGsgyMaJJCQLJd2ICM/cs3TP95s9HAaAORTTCQttWcP8+VMeMaZ5LMzCA\nyMZG5WLE5sULoo6fak/HRZPV7hI/k3FqI0aQWuZWslxdIUhIQENGBoT/XI2edn/5BQBWTccpoEHv\nMvVqSUCqHsPBtrm9jriwREK9lHreAAsELfXwYCiWVdbWAGjTuF1SUCTlVavnKbJPBjGJxKKzFB0j\nc7kQckRt5L0I7zxemoAtWHBr12bzelolZ1DVtzI6OEkAIIUYFz02DSkLIi+BOksDJbVFvNv8C5Oj\n1z8JsdjQp9C/bjxhoKbHyBeLOTH84+OS1so/KCjRTVC6l5WcDnEooME9/Y9SpKMIQBIAy5fU1e02\nKjmvnnO+30/vVAxlBJL6WRnKinP5sZd+LvG5OHCzodi9VtGcVN5V3cj+577ifbdAj8xqXHNIJBLY\nvp5qDaAsSL17Oc9WMKSUDp6XKD2ToTZ3Zhsj6EZGELpa90EU5EsfNuuqd2WMo6ioUBUVM2A5OaFi\n6U+Pp51ZuYsLPSt5G4fGfU7cXPzH7ryBjwKlhlxtcpmg2uyyVplf2pamIhPNuiiggRNelUpMEJmR\n6K0LJpIO3CkZlbuuBgqKfNDABi29vgiArrx9opuxggEJM3LkdbV3rvJ/+9UvAQDJ0zEZAJwJXD9J\ntGH4GK6OVtOrtalwWJbbqRWr0/mL3Yw5LSJy61IyXS98v/H4qJhlV+Vld8Kers57WzhK97KS0ys5\nr1u/kvMSnBDnLQOq/+f1LsvMpLFwsRNUpIMIlUu6f86Zs8vlY/ko33Cj3y0zF+NzKduhecFtCYZP\nX27UwN+cbS8N2UkHB0Rl9WAKj2fVhgiAZKwlBtBu1LyAWVsJUvtdimRqNKjC+FF75xqY8VEKMnC0\nxVC7LSaHhX7w/ckftpPokwf5MV0dWJKSEin/REiCzynPI2RQ2r2GarfFf1X6PljH9HVrXvCklVVS\n2vH4MHPRFPkSix3+vAoQy5JBSmpyv+chml07Qd+T82zBBQDQLEzpZUMpluperq1CpOl2lqySCckB\nNTF5f7ToEKT8fneeoxBK97ISSijRJZQEygYwmxbcp/h/e+cdFtWZNfBzp3faUASkCAKKgIgNsGNH\nUbBijcbVbMzm2U3UL5bEEjWxRDfZTbKJZlewV4xggSiCoCgqIiCiIIJSRorUGWDq94dCKCNSZuYO\ncH7Pwx/zzu+95ww8M4d75t73JQgCOIsCPMOjv/KdmfnNzcbPPZuY/wF35nKbqqvqLz4mCAKAw2w4\nXeQ9lJ+Xl5evoRkatpRFFa9ay02YyIx5bp05jz9hArX5whHykhIALkMgAwlBB06nF3kwBDvZiuP7\nNqRcOjc+xWmvKbeU+3Je9s54NctENmF66saEhA2h/3o8+X9DwcbEBioklcyEohvBN79r80ILjYm2\n+d4lZ1rZSsLDZgAQFArtfnSOeRT1e4lcxGd6B1s29+XFxcD0cFW3yBKwxg23v271vdeM/D13OpIL\n8m6wvYwOWQ7Z8dHppEMI+dZqHKBbWtCUQrYvZEJp4zmErbk7wJsFBdQhyy9U2Ny2FMHbK22DU39M\nOPLbniza54uanO1Kn2bX2v5hnNRazv65WyU/3pmdVWl30Vng79+wtrKyrg6qY2KA7dSPLoMaVzpw\n5K0dp5WxFo57RZCN+92g+sVD2nS1sPfLJUbeByCkvbGaj5US2eNerKJP4c1f0qth0A8GFjpF77L5\nmvJblahYSjM2btL/pjCZoKwWqwCgxf1RyspqBdRIPeqgspoJgmHtzaejr6MbOdheRkcvHbLjo9MJ\nR1VeJQKAFqeh8pJSJaWs4n4jNwMAQKmqEwMAcAYPhsrISBBMmtQwR1lXB5IfT8WMytt7on6MDuwM\n96MOf0+WHlxD83UbQpgZMmWJj7K414rP+j3ZFQZvW74Jgl+sC4zS+wzLW5xmrRjckN/IpHmf3p0l\nCquKjOQQNBqolG+2LjIICADxwbNPOWCSpsnfTzWI6L8P2+kuN2MKOdmKrKBH3yZQgaGTv0X0mNA5\n7LmLejUXWDPGmuXe+Km3IrLyAbO/c5PiSREIQJqYWgajRra4aEt8/y4Fzs9eefTGb35m52Vx0+6t\nw/d3+x21YHsZQTSADCREsssn48z6V7nWFQhZ9MTAfHvlxKr3z+y6GMXKb1fNKXakmZs2+RyRHI9I\nnZPxdXRzn0gueKBaqHSimZoC29MTKi9fBoJOB/mrEinjj9zQhXE7DzT6HhgAALwqFoq8DsKagoP3\nhuRCXKEn/KWABQZKAIBX1Efc8MWhexj+w4fQHYfxriWlVyguHomee+6LXTywkLvXzil9fPmrWOWu\nwElUQ4OG7zNrk9MqjGKkpzX5u4h03O1RsIC+jT3/r1Z0JhNkr8uUof/Z8dT76PC/2dX6VNRCGbWt\nW791BLk935Sq5vYjgiAA7Ews+5+w2P1EdexbxgdTHGjGRhRZfqFccvjC/UFnBlxMMTqxiLco0InC\nZIJKLn/TCXB3JxhWVsAItnIo98q2Clu7IS0wbWeMtvLvSWDRRZBOIoKHLOWyDXvWrOw/1NTMlqpQ\nKOHapZCRt0PD9vVP+vn6+4/QNfFPWnv1yJY1dbWT+/qzfLys5aKiWghPfup23m6zuu9Kx4fP+/GK\n8FcH3scLvOhmZgRt8mSouZHw2vIs6+yUh7/80losSxhcZQmDm9x+Eznv1Er+ppVe9a1j9pjhBkpv\nz8DTsl01y8L37wMAmHN189Hj/1ibXjPcdCwYcg0YzyXlhgnSkIC0rbfUhOkQCpDByyDpPwRLZ1vV\nj9GMjSjw8QyXa8qD/2P1yyIIDpMFWa8yHSN6xY3KWtHms6K2QikSv/sfvOKqcu9XG3KH/ijddi76\nC6taC0VvwUvOk/lZ229Rge7SZ2fGsisxPwVV28nHUX0HePJ8fYHKb7hbChhOfVhlI+OnQhrEaDrv\nnggWXQTpJOKZX326Zv1gbyr1zZkGlUqBidOdetXWpH9SkJRxS9i+VeK6DBSgwpKo/QdEUQ8P37U4\nOsCkqneRj/hLDgCovTe1t2KYZOFBx9Uxcb8uL/YSG0FFjXhArNu5wdWfGajzWyPe4N+2EOTl2vwi\nKQqTCaoRfUZUhuf9IABrOQWosPDGvuNwo+FKZHVXIXeKi9abhrADZvRrPKZSKKD66lUQbvzculGO\nJjleD/qLt33zdErm+g5dLPUuXG94XLt/K3EI22dok1Zx7f2H5VaxhucBAKjAUM15vO8qPG46Vwgu\ndYtu/XA8xGqDOXvyZE+1AUx5Qk3m25PBoosgncTRkzmovuA2ZmJAX9stJ7dMESaf0PiZjT5hAR61\n00Ue9VvHtfofBgdMFFOfrI+DJ00KX7uLboEww5HhNFrtlbdUGwuTArjPE4B1eXuP2xEknCoh1ciQ\n2mQsMRF4fn7Q/J8Clo+nQDQ6eTZkgkaL7oDKGQUZ32/cW/E8fzl7ymhHgkKBuoib+ZzLeQcn5O9K\nf/8RAGi51fnKmhpQdzsXIaos0mS+PRksugjSSehMClPdOJNJAzpXxlf3HNI5HAu909IepFexRgxp\n8fuVZ74stIGlOvs+3ftpcFx0zC0Rd/I4i/oxpUQCNCMjtb6qt7Haq747y+x7O6Kq74miow58662k\nKCkzc7eWsKHtewD7J352/vyhk/M4f51j13hcmvpEYhJH/K7xhHsoeMsQOmQ5ZMfXmFP0hFEIAL2b\niw/uFIqNklbk6DqfnuAMkiyEnKO7CmRDPZwbrwQlLy1TGkWJH3DApK+6edrIxxZGAv9kdILUvWgG\nzdLsTcuDIEAllULzVaoAABhFcjl0cLWp9zk8sICgl/8sbjSmaGVOkzFDsAO/n8ffiik7Xq4c4+hE\nGPGZqviMXKcz5tneWVvL2plzp15HN3DwliF09NIhO75GnIIbNvfio3N6jxhn13DLRnl5jTLyZGFE\n35opcQBQrG85dwdnctSKb06u3z5VNcrJl2pjYaJ6lFdCicuOmBG/+6Cu85l9Y/OOS6t3l4rGy/qD\nAcdIlSMSiUVVA3kLZjQ53ZW/KlLQ7onCmx1Lb37PvcVesPg3r33pv50zqoRMjhd8VEAHjnMHY2kl\nxy7kqAXbywjSSfo/254S/fX2tclxScG97Ok24hKGKjNJGjkg4exJsnPrznDARL7s/P7dr89nMV5C\ngsAFlpozQdDmdqqmmZqyLgZS4D/1j2/ahgQ9rjk5ixs0yYki4BOS6Phi7omchFl3vj1PVo5tpT8E\nlQFAGdl5dEewvYwOWQ7Z8TXq9H+xCSAUjqsAgAPg4wHwELTUQkSn6ZgxOILxm42ChkHTdiop+dTj\nm7vUcOjOmu2xIf8eVMOpFozOmpVooVrmAWo2QNCXnDXokB1fJ44CpAQBFG9Ky1KK7WV09NIhOz46\n6GjVoQM7Y3z+2sY36YjJzEfHDtnxteYkmP5X8nj6s49U/SzcKCoaQ5VV6Oxw0fzA6PzVWWqO1wRs\nLyMIgiBIGyki0jnpH5ds4S/5sPGa4H7PHCIcjbeFrXITB5a0Nh/by+iQ5ZAdHx10tOqoQOmTYPqb\nS7HwRW/7As/H7hVBeWTmo2OH7Phac5I8/1jBWxjYYstJ7ix/2/So0E/crgWeAGwvo6OnDtnx0UFH\nK84Dg1NmKXMej6YuGNOXYevHSE5LlySe+vzW/KNrj/LAQi9z1oJDdnytOGUeUhmVSoXmEAQBEjcm\nF66pPWYDLZfRQRAEQTrF/eCHm9jrF7sybHszAABYA/pz+F+tGn9h2k9LyM4N6RxESa34Xc+pSsWV\n75uP7WV0yHLIjo8OOlpxHvLOWjOnjhjc/EmCRgOFb28vcUSRGxfMZI3nkJ2zFhyy42vNGRI9uuxm\n4kMxa6gHt/G4NO1JjfMfDinwpuZhexkdvXTIjo8OOhp3Ms1uWNJslrdcigoAVLaGjByIzXeFOa91\nlQ+JDtnxteI4iEfB3R/+70l1UP5yjr+fNUEQII6MLWCdyzrqI9rz3uUy8eplBEE0hhIUcNz38+A6\nH/ORwGcJmJk1ZcIE2sFJWesekp1bR8iA3w3zWcnCYbWr6DywaNMc15fjk+7cfVjCGTeixc48yrQ8\nkQMs18lGDIj2mJ+w60JRQlrUtf/9awJXZmY1MnN6iCWsqmnLXGwvo0OWQ3Z8dLTgRIzav46yf6kb\nz9CgYXudorh7/eK3HPp5RM4Hj94xTyP5KEHuE+azI6B6BH+QyojFp+RVFTtdsSkc/iw4pL2xiqiP\nuVGzTixTTHYZQLUbxQtLiKhgReXFzIr98jQFqK0ep59sOiSf/fKBcpjnBAr3zw6kLK9QZhPOzWOB\ngVN78+mCDtnxte6YwQAITv8pEwBMAcC2mYPtZXT00iE7PjoadO7xDvUqX2Fjz2pUcAEAmCMHGz71\nDx0x4kc4q818Tk3atlj17ayJbAG/Pr55ln+248uvN9yck7Azoj2xLiz+7yr+po+GM+q35rO1NZBN\nLJt29Iu1Lxdf23fofccJvLJmY4Rkn7hiLL8/IRQYqwpeF7LjSy6NS92b2t7X1YUdsuOT7agF28sI\ngmiEjH6JY5g+n6vdylBlZ+KoABlQga6xeJn8GNP46Zdnq5zNXeRlr4Hm6mjP+7PgAgAAw7kPq3L0\n3UBFgiyirbHvGR2xZ86dMLj5Xrg0YyNqja+Fn+Ka7ND7jsUCA+XsG1vPKG7IMmqglMYDC/nbp1rd\nbxjp/mB7GR2yHLLjo6Nhx6TUilMuFgOVx2sxkVqtVFKB/q61qNsdK4d12+jOJ482cVesMgEAqIqJ\nAa6vt5rDAFAdrB0qINfTGBxr2hKryqBsAtPZp+VO7gBAFRpbSqHalQ1Gw9qSMxXo0Oy7YL35e2nZ\nITs+2Q62l9HRS4fs+Oho0PHNXpp17vTpaZxlM5rsLaxSKECVknur2dx3HkcGEiLce+/0snGstYSA\nZQgFFfl2kcaJ4zJWNzjXJ576jPPhapP6xzQTE5AVFQHDyqpFwoqy8nIG8FIBoP5ss9XXxa8w+iPv\nSdYQprNji8KrKCkrZADvEbzZWEFv/xZ64pAdn2xHLdheRhBEIwjAWu5wTHDsKS98AW/GpN4EgwEy\nUZFCcuB0on/Ywh/aepwjARs/Z21dOpcvENT3d20Lxj4ZeGbHxuLZd3dEAgCAi3mfxu1f1oABUBke\n3qLoqhQKIBJz7jZq776XwWWLniefXnePsdFhZOMYirJyBeNm4VVNtsh1QRblKv/W6AtzaGyBszQn\nN2VO+v7jXBAqyc6rp4LtZXTIcsiOj44WnJHZH/LdvsjdEnPy0Fi5kMZzTnFgDHq1+xgFqLatzGt4\n/IKeYECZMWQq9c+CCwAADDdnjsQndTHchVwAAMZrosk6fARBAHvgQKi4cAG4Pr5AE5qANPO5jP7L\nnfxZYX+PgHZusxgQuuxIlDiEppjcz41q34unupVVwYrKi5kXu+f222Pp/d8CAHxi+/46MHul/EPO\njL8ZEVQqQHm5X+jh3R/ZXBKE+D/dFK/FfDo6r7s42F5GRy8dsuOjowXHEGwzZj7YXH9frkt7jhPn\ndGgma+QagRofFP1MzEog47kQXOooSQWX5SWvvWhC44albBk2NiAXFVdJP/j+gEJoTBU+N0mZkre5\nriOvy0zRL2PRqW33M079bviYfaxPrZdxQPVAHifEcmOgVawgfGLBhubt8lZfFxlOHVRSM4PLNguC\n5hjVj9EMDcH4k1XsF7zQZZGHv0mclLte3evA97dmHLVgexlBEL2BV2Ugqi4pldPNzVp8NinLq8U8\n6CUDAJibtOfC6S+3Dq/96zBflrsrV6VUQu3125WMYw9/XfD4yIlG0zp1tXCRZb7J69X91vPmTrfn\nUt7Ud1Fy2sSLO/ac9k9a2+YPWjK4bvfvodxZ0/o0HycIAuhWvZj5o3ID4TCcJCO3ngy2l9EhyyE7\nPjp66Ex/8U156Mk9z+mfzu3bWFApFMCOL82sX1iCCnSYH7U9K+XOuehM98NDCRnI/e4ukAgVi5Kh\n6WdOp/J5Mb7sU/78YPvGT7IGDuC/DiqaXZmUHy8AK6mmYmnaYRICNwqHo2bqm3Wgacam9lrMp6Pz\nuouD7WV09NIhOz46euZQgAq2YZwtubTT25kLJ9lRDQSE9HmOVHHw2qNJEXO/AoDaxpPcK4Iy3OOC\nrr592K5W9vucWqigSD0MbdUtokwP8hVcPLbDNjj9p3BNxNKG4/TC5/jz6zcG8/zGtKi8KpkMFFVl\nLwAA28vac9SC7WUEQfSKsS8+fSL9Trw5LHKDbZ0pYW78TJDq/2KHGJoVXKR1rBSDquDMgTDZgH4L\n6ebmDeOSe/dAJVOIzWJpF0hMr8eC7WV0yHLIjo+OHjsM4A6fl/b9LQB4TlY+LDAAxsPyXJgJ5s0n\nyM7FV8xI35gLGmxla8NZHvXz5eOlf+eX+fHHUSxNucq6WqC8qBD1jhdemPxsc7UW8+novO7iYHsZ\nHb10yI6PDjqtOrZXhXufOv++izd3uj3x9kKq2uS0KpNz5WcFYJWijzk3Hwu+/89tivuybY+YYX6F\nzNTC0ZXrMlhgoGxlHr6/NeOoBdvLCIIg72Bkwaps0y2X/pL6x5G/VbvS2MRrcaVlrCB8YsF6Bdm5\ntQcq0MG9bm6+e93cNhcHRDtg0UUQBGkFF9nUcpeYqachpsnZDG5cgHQIyvsVBEEQBEE0AZ7pIgiC\nIHrDVft9ri/Hvp6vsjG2heraKpPriqfT7n+R0dXWvH4XWHQRBEEQveBO72NOeZvMVnHHzGy4Ylyy\noHJoyObPWcvDf9hFZm6aAm8ZQocsh+z46KCDjp69v1+OLF7EGTO9yS1aVAMBQQseMzUj+sptF/Hk\nVxrMEW8ZQqfHOWTHR6cHOAqQZRRDOssE+tbRgUN6Pj3Iafe8Kjcaj6tGYA714N4duN/G5ebkWA3n\niLcMIQiCaAIFyCBi2N4pJROpGyjWQgvlq6uv+dGV6QExn21vdp8qoicQNfJadeOqujqgVUGlrvPR\nBtheRocsh+z46HRzJ9x7t79kz/h5/F6m9XdpGCsDJY5ha/awgyO3h+hjzt3I6dA8k1hFuWSRwoag\nNtkuGWrPXiuYk/JVNnSdvYyxvYyOXjpkx0enmzoSKKWWTmEPblRwAQCAwuGAeFZfz4zoS7tcZFPL\n9Snnbui0e97o2Hn/PLnjuxWcVXOH0s3NaCq5HGouRBcbnivZywWzVC3kiO1lBEGQzpIFkUa0/vbW\n6p5jDXYXPrIKdXPJmRqn67yQ1hGAlXR5yK5Pf0/YMKq6H+FOlNVVTruxOlUITg/Izk1TYHsZHbIc\nsuOj042dPjCOnpR7QQyewG4+SZaTV+vxaiwV/vxs0oucu5nT4WNTgQ5BT/cUwVO42sip0UYsLTrY\nXkZHLx2y46PTTR0eWIDyVkacatqYQIL258ecSqUC6cWbd/vXfBujbzl3Q4fs+GQ7asFlIBEE6ZYE\nnF25V7rx8O3a5NRqlVIJdVnZdbU7jjwcfsJnO9m5IT0XbC+jQ5ZDdnx0urkjBBdYfObrpEdXws9l\n9wp17lPaN3fI680WAGD69kfvcu5GDtnxyXawvYyOXjpkx0enBziu1dMzXDOnR7996EJ2Pj3IITs+\n2Y5asL2MIAiCIDoC28vokOWQHR8ddNDB97e2HGwvo6OXDtnx0UEHHXx/a8tRC7aXEQRBEERHYHsZ\nHbIcsuOjg06XdfIZyZPu9gubzKxmVI159vFtNhgNIzMfHR+7KzjYXkZHLx2y46ODTpdyFCCDkIA1\n62jzRvkzhy3h1kokcOz8fyf2DTE8O+rZh/qWM9nxyXbUgu1lBEGQLsLxkesWsLcsm80a7sklCAIo\nXC7wFwY6ZC+XLCmA+y2WvET0D2wvo0OWQ3Z8dNDpco7Ky3oS1UDQ4mSJHTTBIvHMyVUzH3hd0WU+\nJB27KzjYXkZHLx2y46ODTpdyZCZUGlONTDAYUGlVXQcP3ntsfH/rzlELtpcRBEG6CrmlueqGZQUi\nBT+DSNN1Okj7waKLIAjSRbCM4Z2quZlY0nhMpVCA/OeItICsHbg/cBeAUKlUZOeAIAiCID0CPNNF\nEARBEB2BRRdBEARBdAQWXQRBEATREVh0EQRBEERHYNFFEARBEB3Fzsq+AAAAk0lEQVSBRRdBEARB\ndAQWXQRBEATREVh0EQRBEERHYNFFEARBEB2BRRdBEARBdAQWXQRBEATREVh0EQRBEERHYNFFEARB\nEB2BRRdBEARBdAQWXQRBEATREVh0EQRBEERHYNFFEARBEB2BRRdBEARBdAQWXQRBEATREVh0EQRB\nEERHYNFFEARBEB2BRRdBEARBdMT/AzvtWUsp3uW2AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109b11780>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Notice that at each increase in depth, every node is split in two **except** those nodes which contain only a single class.\n",
      "The result is a very fast **non-parametric** classification, and can be extremely useful in practice.\n",
      "\n",
      "**Question: Do you see any problems with this?**"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Decision Trees and over-fitting\n",
      "\n",
      "One issue with decision trees is that it is very easy to create trees which **over-fit** the data. That is, they are flexible enough that they can learn the structure of the noise in the data rather than the signal! For example, take a look at two trees built on two subsets of this dataset:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.tree import DecisionTreeClassifier\n",
      "clf = DecisionTreeClassifier()\n",
      "\n",
      "plt.figure()\n",
      "visualize_tree(clf, X[:200], y[:200], boundaries=False)\n",
      "plt.figure()\n",
      "visualize_tree(clf, X[-200:], y[-200:], boundaries=False)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<matplotlib.figure.Figure at 0x109c0da58>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAd0AAAFRCAYAAAAxT3fNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109c0d438>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<matplotlib.figure.Figure at 0x109c08208>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAdgAAAFRCAYAAADXZryJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a3b0748>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The details of the classifications are completely different! That is an indication of **over-fitting**: when you predict the value for a new point, the result is more reflective of the noise in the model rather than the signal."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Ensembles of Estimators: Random Forests\n",
      "\n",
      "One possible way to address over-fitting is to use an **Ensemble Method**: this is a meta-estimator which essentially averages the results of many individual estimators which over-fit the data. Somewhat surprisingly, the resulting estimates are much more robust and accurate than the individual estimates which make them up!\n",
      "\n",
      "One of the most common ensemble methods is the **Random Forest**, in which the ensemble is made up of many decision trees which are in some way perturbed.\n",
      "\n",
      "There are volumes of theory and precedent about how to randomize these trees, but as an example, let's imagine an ensemble of estimators fit on subsets of the data. We can get an idea of what these might look like as follows:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def fit_randomized_tree(random_state=0):\n",
      "    X, y = make_blobs(n_samples=300, centers=4,\n",
      "                      random_state=0, cluster_std=2.0)\n",
      "    clf = DecisionTreeClassifier(max_depth=15)\n",
      "    \n",
      "    rng = np.random.RandomState(random_state)\n",
      "    i = np.arange(len(y))\n",
      "    rng.shuffle(i)\n",
      "    visualize_tree(clf, X[i[:250]], y[i[:250]], boundaries=False,\n",
      "                   xlim=(X[:, 0].min(), X[:, 0].max()),\n",
      "                   ylim=(X[:, 1].min(), X[:, 1].max()))\n",
      "    \n",
      "from IPython.html.widgets import interact\n",
      "interact(fit_randomized_tree, random_state=[0, 100]);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAd0AAAFRCAYAAAAxT3fNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngUA4CbToIhAIBALhJP4/Mn/5tj7OcTkAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109cc9c18>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "See how the details of the model change as a function of the sample, while the larger characteristics remain the same!\n",
      "The random forest classifier will do something similar to this, but use a combined version of all these trees to arrive at a final answer:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.ensemble import RandomForestClassifier\n",
      "clf = RandomForestClassifier(n_estimators=100, random_state=0)\n",
      "visualize_tree(clf, X, y, boundaries=False);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAd0AAAFRCAYAAAAxT3fNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n3Z+n4ucHcQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109c56cc0>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "By averaging over 100 randomly perturbed models, we end up with an overall model which is a much better fit to our data!\n",
      "\n",
      "*(Note: above we randomized the model through sub-sampling... Random Forests use more sophisticated means of randomization, which you can read about in, e.g. the [scikit-learn documentation](http://scikit-learn.org/stable/modules/ensemble.html#forest)*)"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Quick Example: Moving to Regression\n",
      "\n",
      "Above we were considering random forests within the context of classification.\n",
      "Random forests can also be made to work in the case of regression (that is, continuous rather than categorical variables). The estimator to use for this is ``sklearn.ensemble.RandomForestRegressor``.\n",
      "\n",
      "Let's quickly demonstrate how this can be used:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.ensemble import RandomForestRegressor\n",
      "\n",
      "x = 10 * np.random.rand(100)\n",
      "\n",
      "def model(x, sigma=0.3):\n",
      "    fast_oscillation = np.sin(5 * x)\n",
      "    slow_oscillation = np.sin(0.5 * x)\n",
      "    noise = sigma * np.random.randn(len(x))\n",
      "\n",
      "    return slow_oscillation + fast_oscillation + noise\n",
      "\n",
      "y = model(x)\n",
      "plt.errorbar(x, y, 0.3, fmt='o');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAeMAAAFVCAYAAADc5IdQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFhcAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10b32f588>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xfit = np.linspace(0, 10, 1000)\n",
      "yfit = RandomForestRegressor(100).fit(x[:, None], y).predict(xfit[:, None])\n",
      "ytrue = model(xfit, 0)\n",
      "\n",
      "plt.errorbar(x, y, 0.3, fmt='o')\n",
      "plt.plot(xfit, yfit, '-r');\n",
      "plt.plot(xfit, ytrue, '-k', alpha=0.5);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAeMAAAFVCAYAAADc5IdQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109bef940>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "As you can see, the non-parametric random forest model is flexible enough to fit the multi-period data, without us even specifying a multi-period model!"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Example: Random Forest for Classifying Digits\n",
      "\n",
      "We previously saw the **hand-written digits** data. Let's use that here to test the efficacy of the SVM and Random Forest classifiers."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.datasets import load_digits\n",
      "digits = load_digits()\n",
      "digits.keys()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 11,
       "text": [
        "dict_keys(['DESCR', 'target_names', 'data', 'target', 'images'])"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "X = digits.data\n",
      "y = digits.target\n",
      "print(X.shape)\n",
      "print(y.shape)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(1797, 64)\n",
        "(1797,)\n"
       ]
      }
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "To remind us what we're looking at, we'll visualize the first few data points:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# set up the figure\n",
      "fig = plt.figure(figsize=(6, 6))  # figure size in inches\n",
      "fig.subplots_adjust(left=0, right=1, bottom=0, top=1, hspace=0.05, wspace=0.05)\n",
      "\n",
      "# plot the digits: each image is 8x8 pixels\n",
      "for i in range(64):\n",
      "    ax = fig.add_subplot(8, 8, i + 1, xticks=[], yticks=[])\n",
      "    ax.imshow(digits.images[i], cmap=plt.cm.binary)\n",
      "    \n",
      "    # label the image with the target value\n",
      "    ax.text(0, 7, str(digits.target[i]))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can quickly classify the digits using a decision tree as follows:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.cross_validation import train_test_split\n",
      "from sklearn import metrics\n",
      "\n",
      "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, random_state=0)\n",
      "clf = DecisionTreeClassifier(max_depth=11)\n",
      "clf.fit(Xtrain, ytrain)\n",
      "ypred = clf.predict(Xtest)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can check the accuracy of this classifier:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "metrics.accuracy_score(ypred, ytest)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "and for good measure, plot the confusion matrix:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.imshow(metrics.confusion_matrix(ypred, ytest),\n",
      "           interpolation='nearest', cmap=plt.cm.binary)\n",
      "plt.grid(False)\n",
      "plt.colorbar()\n",
      "plt.xlabel(\"predicted label\")\n",
      "plt.ylabel(\"true label\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Exercise\n",
      "1. Repeat this classification task with ``sklearn.ensemble.RandomForestClassifier``.  How does the ``max_depth``, ``max_features``, and ``n_estimators`` affect the results?\n",
      "2. Try this classification with ``sklearn.svm.SVC``, adjusting ``kernel``, ``C``, and ``gamma``. Which classifier performs optimally?\n",
      "3. Try a few sets of parameters for each model and check the F1 score (``sklearn.metrics.f1_score``) on your results. What's the best F1 score you can reach?"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}